Question

Is there a unique preferred connection on a general manifold?

score 693 · Answer 1 · 2015-07-05 12:55:30

693

Views

Is there a unique preferred connection on a general manifold?

Published on 05 Jul 2015 - 12:55

score 404 · Answer 2 · 2015-07-08 15:11:20

404

Views

Connection giving an identification of the double-tangent bundle

Published on 08 Jul 2015 - 15:11

score 168 · Answer 3 · 2015-07-17 21:31:58

168

Views

Question of well-definedness of the Levi-Civita connection?

Published on 17 Jul 2015 - 21:31

score 448 · Answer 4 · 2026-03-27 01:13:21

448

Views

Transformation behavior of connection on vector bundle.

Published on 27 Mar 2026 - 1:13

score 265 · Answer 5 · 2015-07-23 09:41:12

265

Views

Defining an Ehresmann Connection Using Linear Connection

Published on 23 Jul 2015 - 9:41

score 262 · Answer 6 · 2026-03-26 23:11:14

262

Views

Decomposition of tangent space of principal bundle

Published on 26 Mar 2026 - 23:11

score 102 · Answer 7 · 2015-08-07 17:26:21

102

Views

The function $m: C^{\infty}(M) \times C^{\infty}(M) \to C^{\infty}(M)$ $m(f,g) = fg$ is $C^{\infty}$ bilinear ... so is it tensor like?

Published on 07 Aug 2015 - 17:26

score 35 · Answer 8 · 2026-03-25 20:35:39

35

Views

Difficulty proving gauge invariance on an SU(N)-valued potential

Published on 25 Mar 2026 - 20:35

score 375 · Answer 9 · 2015-08-09 05:37:50

375

Views

If $\nabla_1$ and $\nabla_2$ are Levi-Civita connections for a metric on the smooth sphere, then their curvature tensor would recover the radius...?

Published on 09 Aug 2015 - 5:37

score 69 · Answer 10 · 2015-08-11 04:37:05

69

Views

Looking for a reference that explains connections and curvature by double tangent space

Published on 11 Aug 2015 - 4:37

score 6.8k · Answer 11 · 2015-08-18 07:54:17

6.8k

Views

Parallel transport along a 2-sphere.

Published on 18 Aug 2015 - 7:54

score 905 · Answer 12 · 2015-08-19 18:50:06

905

Views

Equivalent conditions for a linear connection $\nabla$ to be compatible with Riemannian metric $g$

Published on 19 Aug 2015 - 18:50

score 1k · Answer 13 · 2015-08-27 16:06:36

1k

Views

A diffeomorphism which maps geodesics to geodesics preserves the connection?

Published on 27 Aug 2015 - 16:06

score 810 · Answer 14 · 2026-03-26 23:11:30

810

Views

Connections on principal bundles: Local and Global Formulations.

Published on 26 Mar 2026 - 23:11

score 110 · Answer 15 · 2015-09-21 12:30:14

110

Views

construct a connection such that a given tensor is parallel wrt it

Published on 21 Sep 2015 - 12:30

List Question

Is there a unique preferred connection on a general manifold?

Connection giving an identification of the double-tangent bundle

Question of well-definedness of the Levi-Civita connection?

Transformation behavior of connection on vector bundle.

Defining an Ehresmann Connection Using Linear Connection

Decomposition of tangent space of principal bundle

The function $m: C^{\infty}(M) \times C^{\infty}(M) \to C^{\infty}(M)$ $m(f,g) = fg$ is $C^{\infty}$ bilinear ... so is it tensor like?

Difficulty proving gauge invariance on an SU(N)-valued potential

If $\nabla_1$ and $\nabla_2$ are Levi-Civita connections for a metric on the smooth sphere, then their curvature tensor would recover the radius...?

Looking for a reference that explains connections and curvature by double tangent space

Parallel transport along a 2-sphere.

Equivalent conditions for a linear connection $\nabla$ to be compatible with Riemannian metric $g$

A diffeomorphism which maps geodesics to geodesics preserves the connection?

Connections on principal bundles: Local and Global Formulations.

construct a connection such that a given tensor is parallel wrt it

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