Question

Levi-Civita connections from metrics on the orthogonal frame bundle

score 1k · Answer 1 · 2017-11-20 17:19:54

1k

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Levi-Civita connections from metrics on the orthogonal frame bundle

Published on 20 Nov 2017 - 17:19

score 959 · Answer 2 · 2026-03-27 18:10:44

959

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Relation between the Curvature of a Connection and the Curvature of the Induced Connection on the Frame Bundle

Published on 27 Mar 2026 - 18:10

score 245 · Answer 3 · 2017-11-25 06:44:09

245

Views

Can a smooth fiber bundle with one-dimensional simply conected base space have a curved connection?

Published on 25 Nov 2017 - 6:44

score 281 · Answer 4 · 2017-11-26 14:19:05

281

Views

Difference of the curvature forms of two Chern connections is exact

Published on 26 Nov 2017 - 14:19

score 123 · Answer 5 · 2017-11-28 16:57:12

123

Views

Number of components of Levi Civita Connection $\Gamma^a_{bc}$.

Published on 28 Nov 2017 - 16:57

score 28 · Answer 6 · 2017-11-28 17:03:26

28

Views

A surrounding manifold for the connection involved is missing.

Published on 28 Nov 2017 - 17:03

score 394 · Answer 7 · 2017-11-29 21:11:30

394

Views

Connection on fiber bundle of generic fiber

Published on 29 Nov 2017 - 21:11

score 219 · Answer 8 · 2026-03-27 18:06:59

219

Views

Vector fields pointing from one fiber to another - Notation

Published on 27 Mar 2026 - 18:06

score 894 · Answer 9 · 2017-12-03 23:08:14

894

Views

How do you formulate the linearity condition for a covariant derivative on a vector bundle in terms of parallel transport?

Published on 03 Dec 2017 - 23:08

score 188 · Answer 10 · 2017-12-06 12:03:20

188

Views

From a "low-level" point of view, is the curvature form a covariant exterior derivative?

Published on 06 Dec 2017 - 12:03

score 807 · Answer 11 · 2026-03-27 18:09:22

807

Views

Local Form of Covariant Derivative Induced from a Connection one-form

Published on 27 Mar 2026 - 18:09

score 38 · Answer 12 · 2017-12-14 11:59:17

38

Views

Is every vector bundle connection on this $V$ induced by some connection on $P$?

Published on 14 Dec 2017 - 11:59

score 85 · Answer 13 · 2017-12-16 06:22:26

85

Views

Big O notation in calculus and discrete math

Published on 16 Dec 2017 - 6:22

score 121 · Answer 14 · 2026-03-27 18:08:33

121

Views

Vertical vectors on a principal bundle

Published on 27 Mar 2026 - 18:08

score 212 · Answer 15 · 2017-12-16 18:28:02

212

Views

vector bundle with connection over the real line is trivial

Published on 16 Dec 2017 - 18:28

List Question

Levi-Civita connections from metrics on the orthogonal frame bundle

Relation between the Curvature of a Connection and the Curvature of the Induced Connection on the Frame Bundle

Can a smooth fiber bundle with one-dimensional simply conected base space have a curved connection?

Difference of the curvature forms of two Chern connections is exact

Number of components of Levi Civita Connection $\Gamma^a_{bc}$.

A surrounding manifold for the connection involved is missing.

Connection on fiber bundle of generic fiber

Vector fields pointing from one fiber to another - Notation

How do you formulate the linearity condition for a covariant derivative on a vector bundle in terms of parallel transport?

From a "low-level" point of view, is the curvature form a covariant exterior derivative?

Local Form of Covariant Derivative Induced from a Connection one-form

Is every vector bundle connection on this $V$ induced by some connection on $P$?

Big O notation in calculus and discrete math

Vertical vectors on a principal bundle

vector bundle with connection over the real line is trivial

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