795:
762:
650:
604:
25:
721:
665:
583:
389:, one of the Special Sessions was dedicated to Chen Bang-yen's 75th birthday. The volume 756 in the Contemporary Mathematics series, published by the American Mathematical Society, is dedicated to Chen Bang-yen, and it includes many contributions presented in the Ann Arbor event. The volume is edited by Joeri Van der Veken, Alfonso Carriazo, Ivko Dimitrić, Yun Myung Oh,
844:
468:, given a minimal submanifold of Euclidean space, every sectional curvature at a point is greater than or equal to one-half of the scalar curvature at that point. Interestingly, the submanifolds for which the inequality is an equality can be characterized as certain products of minimal surfaces of low dimension with Euclidean spaces.
151:
212:"Chen inequalities", "Chen invariants (or δ-invariants)", "Chen's conjectures", "Chen surface", "Chen–Ricci inequality", "Chen submanifold", "Chen equality", "Submanifolds of finite type", "Slant submanifolds", "ideal immersion", "(M+,M-)-theory for compact symmetric spaces & 2-numbers of Riemannian manifolds (joint with
377:
Chen Bang-yen is the author of over 570 works including 12 books, mainly in differential geometry and related subjects. He also co-edited four books, three of them were published by
Springer Nature and one of them by American Mathematical Society. His works have been cited over 36,000 times. He was
373:
Chen Bang-yen taught at
Tamkang University between 1965 and 1968, and at the National Tsing Hua University in the academic year 1967–1968. After his doctoral years (1968-1970) at University of Notre Dame, he joined the faculty at Michigan State University as a research associate from 1970 to 1972,
396:
On July 15–16, 2024, within the 9th
European Congress of Mathematics, the mini-symposium MS-8 was dedicated to the Geometry of Submanifolds. In celebration of Bang-Yen Chen's 80th Birthday. The mini-symposium was organized by Alfonso Carriazo,
1056:
374:
where he became associate professor in 1972, and full professor in 1976. He was presented with the title of
University Distinguished Professor in 1990. After 2012 he became University Distinguished Professor Emeritus.
731:
Centre for Pure and
Applied Differential Geometry (PADGE), 1. Katholieke Universiteit Brussel, Group of Exact Sciences, Brussels; Katholieke Universiteit Leuven, Department of Mathematics, Leuven, 1995. x+126
553:
created the (M+,M-)-theory for compact symmetric spaces with several nice applications. One of advantages of their theory is that it is very useful for applying inductive arguments on polars or meridians.
401:, and Mihaela Vajiac, and the contributors were W.G. Boskoff, Pablo Alegre, Anna Maria Candela, Alfonso Carriazo, Mirjana Djoric, Ildefonso Castro, Adela Mihai, Joeri Van der Veken, Alvaro Pampano, and
441:, Chen and Ogiue showed that closed submanifolds which are totally real and minimal must be totally geodesic if the second fundamental form is sufficiently small. By using the Codazzi equation and
1228:
772:
Second edition of the 1984 original. With a foreword by
Leopold Verstraelen. Series in Pure Mathematics, 27. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2015. xviii+467 pp.
1213:
1223:
1158:
417:, a totally real submanifold is one for which the tangent space is orthogonal to its image under the almost complex structure. From the algebraic structure of the
1163:
1148:
1208:
1183:
1193:
1168:
1153:
42:
33:
618:
1218:
1188:
421:
and the Simons formula, Chen and Koichi Ogiue derived a number of information on submanifolds of complex space forms which are totally real and
1143:
824:
810:
781:
777:
744:
1046:
1970 Functional
Analysis and Related Fields (Proc. Conf. for M. Stone, Univ. Chicago, Chicago, Ill., 1968) pp. 59–75 Springer, New York
1178:
1019:
748:
119:
49:
475:
of
Euclidean space, which is a submanifold for which the position vector is a finite linear combination of eigenfunctions of the
1173:
627:
445:, they also obtained rigidity results on two-dimensional closed submanifolds of complex space forms which are totally real.
100:
479:. He also introduced and studied a generalization of the class of totally real submanifolds and of complex submanifolds; a
382:
359:
198:
72:
499:
739:
With a foreword by
Leopold Verstraelen. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011. xxxii+477 pp.
805:
With a foreword by
Leopold Verstraelen. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2017. xxx+486 pp.
79:
487:
such that the image under the almost complex structure of an arbitrary submanifold tangent vector has an angle of
38:
476:
339:
257:
363:
202:
86:
696:
Università degli Studi di Roma "La Sapienza", Istituto Matematico "Guido Castelnuovo", Rome, 1985. iv+68 pp.
465:
418:
1098:
1203:
794:
761:
649:
603:
511:
442:
68:
335:
247:
239:
703:
A report on joint work with Professor T. Nagano. Katholieke Universiteit Leuven, Louvain, 1987. 83 pp.
1198:
886:
515:
495:
453:
434:
386:
243:
984:
956:
1025:
711:
655:
414:
355:
343:
194:
872:
438:
57:
1015:
820:
806:
773:
740:
430:
426:
402:
398:
390:
291:
1119:
1084:
1007:
900:
858:
785:
752:
640:
594:
573:
546:
519:
457:
276:
970:
93:
539:
422:
174:
550:
527:
461:
367:
281:
213:
682:
Pure and Applied Mathematics, No. 22. Marcel Dekker, Inc., New York, 1973. vii+298 pp.
644:
577:
354:
Chen Bang-yen (陳邦彦) is a Taiwanese-American mathematician. He received his B.S. from
1137:
1029:
942:
928:
639:
Handbook of Differential Geometry, Vol. I (2000), 187–418. North-Holland, Amsterdam.
331:
306:
502:
initiated the study of spaces of quasi-constant curvature. Chen also introduced the
464:
vector, and the curvature of the space form. In particular, as a consequence of the
1044:
Minimal submanifolds of a sphere with second fundamental form of constant length.
914:
720:
664:
582:
530:
and the size of the sectional curvature of the ambient manifold. Submanifolds of
531:
523:
52:. Contentious material about living persons that is unsourced or poorly sourced
24:
1123:
449:
1115:
819:
World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2020. xii+528 pp.
483:
of an almost Hermitian manifold is a submanifold for which there is a number
518:; they can be viewed as an interpolation between sectional curvature and
538:; such submanifolds are critical points of a certain restriction of the
1011:
598:
378:
named as one of the top 15 famous Taiwanese scientists by SCI Journal.
1070:
1001:
338:
and related subjects. He was a University Distinguished Professor of
264:
817:
Biharmonic submanifolds and biharmonic maps in Riemannian geometry.
803:
Differential geometry of warped product manifolds and submanifolds.
591:
Some pinching and classification theorems for minimal submanifolds.
715:
659:
620:
Some open problems and conjectures on submanifolds of finite type.
150:
789:
756:
342:
from 1990 to 2012. After 2012 he became University Distinguished
534:
which satisfy the equality case of this inequality are known as
522:. Due to the Gauss equation, the δ-invariants of a Riemannian
18:
701:
A new approach to compact symmetric spaces and applications.
270:
On the G-total curvature and topology of immersed manifolds
471:
Chen introduced and systematically studied the notion of a
737:
Pseudo-Riemannian geometry, δ-invariants and applications.
456:
at any point is bounded below in terms of the intrinsic
710:
Katholieke Universiteit Leuven, Louvain, 1990. 123 pp.
1006:. Vol. 756. American Mathematical Society. 2020.
770:
Total mean curvature and submanifolds of finite type.
381:
On October 20–21, 2018, at the 1143rd Meeting of the
689:
Science University of Tokyo, Tokyo, 1981. iii+96 pp.
1229:
Academic staff of the National Tsing Hua University
301:
287:
275:
263:
253:
235:
220:
208:
190:
182:
157:
134:
971:"American Mathematical Society, Meeting No. 1143"
593:Arch. Math. (Basel) 60 (1993), no. 6, 568–578.
687:Geometry of submanifolds and its applications.
694:Finite type submanifolds and generalizations.
572:Trans. Amer. Math. Soc. 193 (1974), 257–266.
8:
362:in 1967. He obtained his Ph.D. degree from
16:Taiwanese American mathematician (born 1943)
1042:S.S. Chern, M. do Carmo, and S. Kobayashi.
632:Soochow J. Math. 22 (1996), no. 2, 117–337.
623:Soochow J. Math. 17 (1991), no. 2, 169–188.
1214:People from Toucheng, Yilan County, Taiwan
437:'s estimate of the algebraic terms in the
149:
131:
1224:Naturalized citizens of the United States
120:Learn how and when to remove this message
1159:Taiwanese emigrants to the United States
729:Laplace transformations of submanifolds.
629:A report on submanifolds of finite type.
836:
727:Chen Bang-yen and Leopold Verstraelen.
526:can be controlled by the length of the
510:), which are certain kinds of partial
491:with the submanifold's tangent space.
448:In 1993, Chen studied submanifolds of
1164:21st-century Taiwanese mathematicians
1149:20th-century Taiwanese mathematicians
7:
1209:Academic staff of Tamkang University
1184:National Tsing Hua University alumni
1003:Contemporary Mathematics, Volume 756
957:"Top 15 Famous Taiwanese Scientists"
859:"Chen Bang-yen on Genealogy Project"
901:"Bang-Yen Chen: His Life and Works"
224:Three Children - Two Girls, One Boy
14:
1194:Michigan State University faculty
1169:21st-century Taiwanese scientists
1154:20th-century Taiwanese scientists
1099:"Romanian Journal of Mathematics"
887:"Chen Bang-yen on Google Scholar"
578:10.1090/S0002-9947-1974-0346708-7
366:in 1970 under the supervision of
1219:People from Yilan County, Taiwan
929:"Chen Bang-yen on Research Gate"
793:
760:
719:
663:
648:
602:
581:
568:Chen Bang-yen and Koichi Ogiue.
23:
1189:University of Notre Dame alumni
943:"Chen Bang-yen on ResearchGate"
915:"Chen Bang-yen on Zentralblatt"
708:Geometry of slant submanifolds.
1057:"Two-numbers and applications"
845:"Chen Bang-yen's Ph.D. thesis"
1:
873:"Chen Bang-yen on MSU domain"
815:Ye-Lin Ou and Chen Bang-yen.
645:10.1016/S1874-5741(00)80006-0
570:On totally real submanifolds.
452:, showing that the intrinsic
383:American Mathematical Society
360:National Tsing Hua University
199:National Tsing Hua University
142:
50:secondary or tertiary sources
1144:Mathematicians from Michigan
56:, especially if potentially
34:biography of a living person
1085:"Furuki and Tamaru's paper"
358:in 1965 and his M.Sc. from
54:must be removed immediately
1245:
1124:10.1142/9789814566285_0018
1179:Tamkang University alumni
680:Geometry of submanifolds.
477:Laplace-Beltrami operator
415:almost Hermitian manifold
340:Michigan State University
297:
258:Michigan State University
228:
148:
141:
637:Riemannian submanifolds.
364:University of Notre Dame
203:University of Notre Dame
473:finite type submanifold
1174:Differential geometers
443:isothermal coordinates
409:Research contributions
48:Please help by adding
528:mean curvature vector
336:differential geometry
248:Geometry and topology
240:Differential geometry
460:, the length of the
393:, and Luc Vrancken.
334:who works mainly on
516:sectional curvature
496:Riemannian geometry
454:sectional curvature
435:Shoshichi Kobayashi
387:Ann Arbor, Michigan
244:Riemannian Geometry
186:Taiwanese, American
37:relies too much on
599:10.1007/BF01236084
356:Tamkang University
344:professor emeritus
330:is a Taiwan-born
195:Tamkang University
825:978-981-121-237-6
811:978-981-3208-92-6
782:978-981-4616-68-3
778:978-981-4616-69-0
745:978-981-4329-63-7
545:In the theory of
481:slant submanifold
431:Manfredo do Carmo
427:Shiing-Shen Chern
325:
324:
288:Doctoral students
230:Scientific career
130:
129:
122:
104:
1236:
1128:
1127:
1116:"Tanaka's paper"
1112:
1106:
1105:
1103:
1095:
1089:
1088:
1081:
1075:
1074:
1071:"(M+,M-)-method"
1067:
1061:
1060:
1053:
1047:
1040:
1034:
1033:
1012:10.1090/conm/756
998:
992:
991:
989:
985:"Notices of AMS"
981:
975:
974:
967:
961:
960:
953:
947:
946:
939:
933:
932:
925:
919:
918:
911:
905:
904:
897:
891:
890:
883:
877:
876:
869:
863:
862:
855:
849:
848:
841:
798:
797:
765:
764:
724:
723:
668:
667:
653:
652:
607:
606:
586:
585:
547:symmetric spaces
536:ideal immersions
520:scalar curvature
490:
486:
458:scalar curvature
321:
318:
316:
314:
312:
310:
308:
277:Doctoral advisor
171:
167:
165:
153:
132:
125:
118:
114:
111:
105:
103:
62:
27:
19:
1244:
1243:
1239:
1238:
1237:
1235:
1234:
1233:
1134:
1133:
1132:
1131:
1114:
1113:
1109:
1101:
1097:
1096:
1092:
1083:
1082:
1078:
1069:
1068:
1064:
1055:
1054:
1050:
1041:
1037:
1022:
1000:
999:
995:
987:
983:
982:
978:
969:
968:
964:
955:
954:
950:
941:
940:
936:
927:
926:
922:
913:
912:
908:
899:
898:
894:
885:
884:
880:
871:
870:
866:
857:
856:
852:
843:
842:
838:
833:
801:Chen Bang-yen.
792:
768:Chen Bang-yen.
759:
735:Chen Bang-yen.
718:
706:Chen Bang-yen.
699:Chen Bang-yen.
692:Chen Bang-yen.
685:Chen Bang-yen.
678:Chen Bang-yen.
662:
647:
635:Chen Bang-yen.
626:Chen Bang-yen.
617:Chen Bang-yen.
601:
589:Chen Bang-yen.
580:
560:
540:Willmore energy
508:Chen invariants
488:
484:
411:
352:
305:
191:Alma mater
178:
175:Toucheng, Yilan
172:
169:
168:October 3, 1943
163:
161:
144:
137:
126:
115:
109:
106:
69:"Bang-Yen Chen"
63:
61:
47:
43:primary sources
28:
17:
12:
11:
5:
1242:
1240:
1232:
1231:
1226:
1221:
1216:
1211:
1206:
1201:
1196:
1191:
1186:
1181:
1176:
1171:
1166:
1161:
1156:
1151:
1146:
1136:
1135:
1130:
1129:
1107:
1090:
1076:
1062:
1048:
1035:
1020:
993:
976:
962:
948:
934:
920:
906:
892:
878:
864:
850:
835:
834:
832:
829:
828:
827:
813:
799:
766:
733:
725:
704:
697:
690:
683:
670:
669:
633:
624:
609:
608:
587:
563:Major articles
559:
556:
551:Tadashi Nagano
466:Gauss equation
462:mean curvature
439:Simons formula
419:Gauss equation
410:
407:
403:Bogdan Suceavă
399:Bogdan Suceavă
391:Bogdan Suceavă
368:Tadashi Nagano
351:
348:
323:
322:
303:
299:
298:
295:
294:
292:Bogdan Suceavă
289:
285:
284:
282:Tadashi Nagano
279:
273:
272:
267:
261:
260:
255:
251:
250:
237:
233:
232:
226:
225:
222:
218:
217:
214:Tadashi Nagano
210:
209:Known for
206:
205:
192:
188:
187:
184:
180:
179:
173:
159:
155:
154:
146:
145:
139:
138:
135:
128:
127:
31:
29:
22:
15:
13:
10:
9:
6:
4:
3:
2:
1241:
1230:
1227:
1225:
1222:
1220:
1217:
1215:
1212:
1210:
1207:
1205:
1204:Living people
1202:
1200:
1197:
1195:
1192:
1190:
1187:
1185:
1182:
1180:
1177:
1175:
1172:
1170:
1167:
1165:
1162:
1160:
1157:
1155:
1152:
1150:
1147:
1145:
1142:
1141:
1139:
1125:
1121:
1117:
1111:
1108:
1100:
1094:
1091:
1086:
1080:
1077:
1072:
1066:
1063:
1058:
1052:
1049:
1045:
1039:
1036:
1031:
1027:
1023:
1021:9781470450922
1017:
1013:
1009:
1005:
1004:
997:
994:
986:
980:
977:
972:
966:
963:
958:
952:
949:
944:
938:
935:
930:
924:
921:
916:
910:
907:
902:
896:
893:
888:
882:
879:
874:
868:
865:
860:
854:
851:
846:
840:
837:
830:
826:
822:
818:
814:
812:
808:
804:
800:
796:
791:
787:
783:
779:
775:
771:
767:
763:
758:
754:
750:
749:981-4329-63-0
746:
742:
738:
734:
730:
726:
722:
717:
713:
709:
705:
702:
698:
695:
691:
688:
684:
681:
677:
676:
675:
674:
666:
661:
657:
651:
646:
642:
638:
634:
631:
630:
625:
622:
621:
616:
615:
614:
613:
605:
600:
596:
592:
588:
584:
579:
575:
571:
567:
566:
565:
564:
557:
555:
552:
548:
543:
541:
537:
533:
529:
525:
521:
517:
513:
509:
506:(also called
505:
501:
497:
492:
482:
478:
474:
469:
467:
463:
459:
455:
451:
446:
444:
440:
436:
432:
428:
424:
420:
416:
408:
406:
404:
400:
394:
392:
388:
384:
379:
375:
371:
369:
365:
361:
357:
349:
347:
345:
341:
337:
333:
332:mathematician
329:
328:Chen Bang-yen
320:
309:.researchgate
304:
300:
296:
293:
290:
286:
283:
280:
278:
274:
271:
268:
266:
262:
259:
256:
252:
249:
245:
241:
238:
234:
231:
227:
223:
219:
215:
211:
207:
204:
200:
196:
193:
189:
185:
181:
176:
170:(age 80)
160:
156:
152:
147:
140:
136:Chen Bang-yen
133:
124:
121:
113:
102:
99:
95:
92:
88:
85:
81:
78:
74:
71: –
70:
66:
65:Find sources:
59:
55:
51:
45:
44:
40:
35:
30:
26:
21:
20:
1110:
1093:
1079:
1065:
1051:
1043:
1038:
1002:
996:
979:
965:
951:
937:
923:
909:
895:
881:
867:
853:
839:
816:
802:
790:10.1142/9237
769:
757:10.1142/8003
736:
728:
707:
700:
693:
686:
679:
672:
671:
636:
628:
619:
611:
610:
590:
569:
562:
561:
558:Publications
544:
535:
507:
504:δ-invariants
503:
500:Kentaro Yano
493:
480:
472:
470:
447:
412:
395:
380:
376:
372:
353:
327:
326:
269:
254:Institutions
229:
116:
107:
97:
90:
83:
76:
64:
53:
36:
1199:1943 births
549:, Chen and
532:space forms
524:submanifold
498:, Chen and
450:space forms
425:. By using
183:Nationality
60:or harmful.
1138:Categories
831:References
164:1943-10-03
80:newspapers
39:references
1030:230645373
716:1307.1512
660:1307.1875
413:Given an
350:Biography
385:held at
313:/profile
221:Children
177:, Taiwan
110:May 2019
58:libelous
612:Surveys
514:of the
423:minimal
302:Website
94:scholar
1028:
1018:
823:
809:
776:
743:
512:traces
433:, and
265:Thesis
236:Fields
96:
89:
82:
75:
67:
1102:(PDF)
1026:S2CID
988:(PDF)
712:arXiv
673:Books
656:arXiv
319:_Chen
315:/Bang
101:JSTOR
87:books
32:This
1016:ISBN
821:ISBN
807:ISBN
774:ISBN
741:ISBN
317:_Yen
311:.net
158:Born
73:news
1120:doi
1008:doi
786:doi
753:doi
732:pp.
641:doi
595:doi
574:doi
494:In
307:www
216:)".
143:陳邦彦
41:to
1140::
1118:.
1024:.
1014:.
784:.
780:,
751:.
747:,
654:;
542:.
429:,
405:.
370:.
346:.
246:,
242:,
201:,
197:,
166:)
1126:.
1122::
1104:.
1087:.
1073:.
1059:.
1032:.
1010::
990:.
973:.
959:.
945:.
931:.
917:.
903:.
889:.
875:.
861:.
847:.
788::
755::
714::
658::
643::
597::
576::
489:k
485:k
162:(
123:)
117:(
112:)
108:(
98:·
91:·
84:·
77:·
46:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
