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Bochner–Kodaira–Nakano identity

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over a hermitian manifold in terms of its complex conjugate and the curvature of the bundle and the torsion of the metric of the manifold. It is named after
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Expression for the antiholomorphic Laplacian of a vector bundle over a hermitian manifold
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Proceedings of the National Academy of Sciences of the United States of America
125:(1953), "On a differential-geometric method in the theory of analytic stacks", 158: 68:(1986), "Sur l'identité de Bochner-Kodaira-Nakano en géométrie hermitienne", 149: 192: 207: 81: 166: 70:
Séminaire d'analyse P. Lelong-P. Dolbeault-H. Skoda, années 1983/1984
72:, Lecture Notes in Math., vol. 1198, Berlin, New York: 223: 243: 8: 250: 236: 112:Complex Analytic and Differential Geometry 182: 148: 7: 204: 202: 222:. You can help Knowledge (XXG) by 14: 269:Theorems in differential geometry 206: 35:, giving an expression for the 25:Bochner–Kodaira–Nakano identity 1: 284:Differential geometry stubs 300: 201: 279:Mathematical identities 150:10.1073/pnas.39.12.1268 218:-related article is a 27:is an analogue of the 216:differential geometry 107:Demailly, Jean-Pierre 66:Demailly, Jean-Pierre 29:Weitzenböck identity 141:1953PNAS...39.1268K 33:hermitian manifolds 82:10.1007/BFb0077045 76:, pp. 88–97, 231: 230: 135:(12): 1268–1273, 123:Kodaira, Kunihiko 91:978-3-540-16762-4 291: 252: 245: 238: 210: 203: 195: 186: 152: 118: 117: 102: 49:Kunihiko Kodaira 299: 298: 294: 293: 292: 290: 289: 288: 259: 258: 257: 256: 199: 121: 115: 105: 92: 74:Springer-Verlag 64: 61: 45:Salomon Bochner 39:Laplacian of a 37:antiholomorphic 17: 12: 11: 5: 297: 295: 287: 286: 281: 276: 274:Vector bundles 271: 261: 260: 255: 254: 247: 240: 232: 229: 228: 211: 197: 196: 119: 103: 90: 60: 57: 15: 13: 10: 9: 6: 4: 3: 2: 296: 285: 282: 280: 277: 275: 272: 270: 267: 266: 264: 253: 248: 246: 241: 239: 234: 233: 227: 225: 221: 217: 212: 209: 205: 200: 194: 190: 185: 180: 176: 172: 168: 164: 160: 156: 151: 146: 142: 138: 134: 130: 129: 124: 120: 114: 113: 108: 104: 101: 97: 93: 87: 83: 79: 75: 71: 67: 63: 62: 58: 56: 54: 53:Shigeo Nakano 50: 46: 42: 41:vector bundle 38: 34: 30: 26: 22: 224:expanding it 213: 198: 132: 126: 111: 69: 24: 18: 21:mathematics 263:Categories 59:References 159:0027-8424 193:16589409 109:(2012), 184:1063947 175:0066693 137:Bibcode 100:0874763 191:  181:  173:  165:  157:  98:  88:  51:, and 23:, the 214:This 167:89226 163:JSTOR 116:(PDF) 220:stub 189:PMID 155:ISSN 86:ISBN 31:for 179:PMC 145:doi 78:doi 19:In 265:: 187:, 177:, 171:MR 169:, 161:, 153:, 143:, 133:39 131:, 96:MR 94:, 84:, 55:. 47:, 251:e 244:t 237:v 226:. 147:: 139:: 80::

Index

mathematics
Weitzenböck identity
hermitian manifolds
antiholomorphic
vector bundle
Salomon Bochner
Kunihiko Kodaira
Shigeo Nakano
Demailly, Jean-Pierre
Springer-Verlag
doi
10.1007/BFb0077045
ISBN
978-3-540-16762-4
MR
0874763
Demailly, Jean-Pierre
Complex Analytic and Differential Geometry
Kodaira, Kunihiko
Proceedings of the National Academy of Sciences of the United States of America
Bibcode
1953PNAS...39.1268K
doi
10.1073/pnas.39.12.1268
ISSN
0027-8424
JSTOR
89226
MR
0066693

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