List questions from connections

Published on 25 Mar 2026 - 12:54

140

Views

How different definitions of connections fit together?

Published on 18 Jul 2016 - 21:48

306

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Torsion and curvature of a linear connection on a parallelizable manifold

Published on 20 Jul 2016 - 6:04

249

Views

Proving this connection is actually the Levi-Civita connection.

Published on 27 Jul 2016 - 4:07

39

Views

Path Connecting $\textrm{Hol}^\sigma_\gamma(e)$ and $\textrm{Hol}^{\sigma^\prime}_{\gamma}(e)$?

Published on 02 Aug 2016 - 12:37

748

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Covariant derivative of contracted tensor product

Published on 04 Aug 2016 - 6:36

53

Views

Parameter of $S^2\times S^2$

Published on 09 Aug 2016 - 3:28

53

Views

How to show $\alpha(t)=P\cos t+X\sin t$ is geodesic of $S^3$?

Published on 09 Aug 2016 - 12:34

77

Views

Horizontal lifts of $\gamma$ and $\gamma^{-1}$?

Published on 12 Aug 2016 - 17:56

703

Views

Canonical connection on the Frobenius pull-back

Published on 25 Mar 2026 - 6:24

299

Views

Existence of meromorphic connections

Published on 16 Aug 2016 - 15:54

616

Views

Parallel vector fields imply a flat connection?

Published on 10 Sep 2016 - 7:09

227

Views

Covariant derivative in Ehresmann connection is independent of choice of curve

Published on 27 Sep 2016 - 14:34

1k

Views

Geodesics on the cylinder and Levi-Civita connection

Published on 01 Oct 2016 - 11:41

375

Views

Change in connection forms under change of frame

Published on 02 Oct 2016 - 19:14

List Question

Quick question: Extension of vector bundles on a compact Riemann surface

How different definitions of connections fit together?

Torsion and curvature of a linear connection on a parallelizable manifold

Proving this connection is actually the Levi-Civita connection.

Path Connecting $\textrm{Hol}^\sigma_\gamma(e)$ and $\textrm{Hol}^{\sigma^\prime}_{\gamma}(e)$?

Covariant derivative of contracted tensor product

Parameter of $S^2\times S^2$

How to show $\alpha(t)=P\cos t+X\sin t$ is geodesic of $S^3$?

Horizontal lifts of $\gamma$ and $\gamma^{-1}$?

Canonical connection on the Frobenius pull-back

Existence of meromorphic connections

Parallel vector fields imply a flat connection?

Covariant derivative in Ehresmann connection is independent of choice of curve

Geodesics on the cylinder and Levi-Civita connection

Change in connection forms under change of frame

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