List questions from connections

Published on 26 Mar 2026 - 12:49

79

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Given a $1$-form $\omega$ on $\Bbb R^n$, is there a connection whose torsion is $T(X,Y)=\omega(X)Y-\omega(Y)X$?

Published on 27 May 2016 - 12:43

225

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Computing Curvature of a Connection (Dirac Monopole)

Published on 08 Jun 2016 - 14:21

899

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Geodesics, isometries and connections.

Published on 11 Jun 2016 - 15:40

409

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Bott's topological obstruction to integrability

Published on 27 Mar 2026 - 10:16

539

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Compute Christoffel symbols of a rotating cartesian coordinate system

Published on 28 Jun 2016 - 1:10

1.3k

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Definition of formal adjoint of covariant derivative

Published on 26 Mar 2026 - 11:02

998

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Can we define flat connection on any given smooth manifold?

Published on 29 Jun 2016 - 8:45

204

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Quick question: Curvature form of a connection on the trivial bundle

Published on 29 Jun 2016 - 15:41

270

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Covariant derivative in $\mathbb{R}^n$

Published on 29 Jun 2016 - 16:00

229

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Metric non symmetric connection in the tangent bundle?

Published on 01 Jul 2016 - 14:36

88

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computational insight behind why connections fix the shape of surface

Published on 02 Jul 2016 - 5:21

567

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Covariant derivative fullfils Levi-Civita in Euclidean space

Published on 02 Jul 2016 - 11:46

944

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Connections on a manifold and principal connections on the frame bundle

Published on 27 Mar 2026 - 10:09

131

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When can a connection be lifted?

Published on 27 Mar 2026 - 15:05

List Question

Example of a degenerate metric which doesn't have the Levi-Civita connection

Given a $1$-form $\omega$ on $\Bbb R^n$, is there a connection whose torsion is $T(X,Y)=\omega(X)Y-\omega(Y)X$?

Computing Curvature of a Connection (Dirac Monopole)

Geodesics, isometries and connections.

Bott's topological obstruction to integrability

Compute Christoffel symbols of a rotating cartesian coordinate system

Definition of formal adjoint of covariant derivative

Can we define flat connection on any given smooth manifold?

Quick question: Curvature form of a connection on the trivial bundle

Covariant derivative in $\mathbb{R}^n$

Metric non symmetric connection in the tangent bundle?

computational insight behind why connections fix the shape of surface

Covariant derivative fullfils Levi-Civita in Euclidean space

Connections on a manifold and principal connections on the frame bundle

When can a connection be lifted?

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