22:
167:
208:
154:
Let ∇ be a connection on the tangent space TN of a smooth manifold N. For smooth mappings h:M→TN from any smooth manifold M, the connector K:TTN→TN satisfies :
201:
43:
232:
194:
227:
113:
94:
66:
73:
47:
80:
135:
62:
32:
51:
36:
174:
139:
87:
178:
221:
143:
155:
127:
21:
166:
15:
158:
h = K○Th:TM→TN where Th:TM→TTN is the differential of h.
182:
202:
8:
50:. Unsourced material may be challenged and
209:
195:
114:Learn how and when to remove this message
7:
163:
161:
134:is a map which can be defined for a
48:adding citations to reliable sources
14:
165:
20:
1:
181:. You can help Knowledge by
146:from the linear connection.
63:"Connector" mathematics
233:Differential geometry stubs
249:
160:
228:Connection (mathematics)
138:and used to define the
177:-related article is a
175:differential geometry
140:covariant derivative
44:improve this article
190:
189:
136:linear connection
124:
123:
116:
98:
240:
211:
204:
197:
169:
162:
119:
112:
108:
105:
99:
97:
56:
24:
16:
248:
247:
243:
242:
241:
239:
238:
237:
218:
217:
216:
215:
152:
120:
109:
103:
100:
57:
55:
41:
25:
12:
11:
5:
246:
244:
236:
235:
230:
220:
219:
214:
213:
206:
199:
191:
188:
187:
170:
151:
148:
122:
121:
28:
26:
19:
13:
10:
9:
6:
4:
3:
2:
245:
234:
231:
229:
226:
225:
223:
212:
207:
205:
200:
198:
193:
192:
186:
184:
180:
176:
171:
168:
164:
159:
157:
149:
147:
145:
144:vector bundle
141:
137:
133:
129:
118:
115:
107:
96:
93:
89:
86:
82:
79:
75:
72:
68:
65: –
64:
60:
59:Find sources:
53:
49:
45:
39:
38:
34:
29:This article
27:
23:
18:
17:
183:expanding it
172:
153:
131:
125:
110:
104:January 2021
101:
91:
84:
77:
70:
58:
42:Please help
30:
128:mathematics
222:Categories
150:Definition
74:newspapers
132:connector
31:does not
88:scholar
52:removed
37:sources
90:
83:
76:
69:
61:
173:This
142:on a
95:JSTOR
81:books
179:stub
130:, a
67:news
35:any
33:cite
126:In
46:by
224::
210:e
203:t
196:v
185:.
156:∇
117:)
111:(
106:)
102:(
92:·
85:·
78:·
71:·
54:.
40:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.