Question

Contraction of indices of connection coefficients: Levi-Civita connection vs other connections

score 175 · Answer 1 · 2019-07-04 19:25:11

175

Views

Contraction of indices of connection coefficients: Levi-Civita connection vs other connections

Published on 04 Jul 2019 - 19:25

score 292 · Answer 2 · 2019-07-07 08:10:05

292

Views

What type of connection is required for the Chern-Gauss-Bonnet Theorem?

Published on 07 Jul 2019 - 8:10

score 43 · Answer 3 · 2026-03-25 15:40:06

43

Views

Could someone please point out the mistake I'm making calculating this connection coefficient?

Published on 25 Mar 2026 - 15:40

score 178 · Answer 4 · 2026-03-25 08:12:42

178

Views

Standard horizontal vector fields on the bundle of linear frames

Published on 25 Mar 2026 - 8:12

score 157 · Answer 5 · 2019-07-10 17:57:03

157

Views

Affine connection on a Lie group - interaction with left-multiplication

Published on 10 Jul 2019 - 17:57

score 733 · Answer 6 · 2019-07-11 11:28:38

733

Views

Understanding the definition of a left-invariant connection on a Lie group

Published on 11 Jul 2019 - 11:28

score 401 · Answer 7 · 2026-03-25 08:10:02

401

Views

space of connections is an affine space

Published on 25 Mar 2026 - 8:10

score 89 · Answer 8 · 2019-08-06 20:13:38

89

Views

Confusion about characterization of the torsion tensor

Published on 06 Aug 2019 - 20:13

score 149 · Answer 9 · 2026-03-25 08:09:48

149

Views

Image of Curvature form on a Principal Bundle

Published on 25 Mar 2026 - 8:09

score 197 · Answer 10 · 2019-08-15 18:53:06

197

Views

Connection on a manifold (or a principal bundle on the manifold) from notion of "parallel transport"

Published on 15 Aug 2019 - 18:53

score 55 · Answer 11 · 2026-03-25 04:39:37

55

Views

Pullback of connection on tangent bundles.

Published on 25 Mar 2026 - 4:39

score 762 · Answer 12 · 2019-08-18 18:51:00

762

Views

“Connection form” associated to a connection on a vector bundle

Published on 18 Aug 2019 - 18:51

score 910 · Answer 13 · 2019-08-23 08:31:34

910

Views

Why do we need the covariant derivative along a curve - why are linear connections not sufficient?

Published on 23 Aug 2019 - 8:31

score 347 · Answer 14 · 2026-03-25 08:07:55

347

Views

associating a principal $G$- bundle for a $G$-torsor?

Published on 25 Mar 2026 - 8:07

score 427 · Answer 15 · 2019-09-02 08:36:21

427

Views

Extending a vector to a section of a vector bundle parallel with respect to a given connection

Published on 02 Sep 2019 - 8:36

List Question

Contraction of indices of connection coefficients: Levi-Civita connection vs other connections

What type of connection is required for the Chern-Gauss-Bonnet Theorem?

Could someone please point out the mistake I'm making calculating this connection coefficient?

Standard horizontal vector fields on the bundle of linear frames

Affine connection on a Lie group - interaction with left-multiplication

Understanding the definition of a left-invariant connection on a Lie group

space of connections is an affine space

Confusion about characterization of the torsion tensor

Image of Curvature form on a Principal Bundle

Connection on a manifold (or a principal bundle on the manifold) from notion of "parallel transport"

Pullback of connection on tangent bundles.

“Connection form” associated to a connection on a vector bundle

Why do we need the covariant derivative along a curve - why are linear connections not sufficient?

associating a principal $G$- bundle for a $G$-torsor?

Extending a vector to a section of a vector bundle parallel with respect to a given connection

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