List questions from connections

Published on 18 Apr 2020 - 17:13

112

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Taking directional derivatives of smooth sections of vector bundles

Published on 18 Apr 2020 - 19:06

60

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Curvature of orthogonal distribution in a Riemannian principal space

Published on 25 Mar 2026 - 19:10

42

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If $\triangledown$ is a connection, show that $\frac{1}{2}\triangledown$ does not satisify the product rule and is thus not a connection.

Published on 20 Apr 2020 - 14:17

120

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Having a problem calculating covariant derivative

Published on 26 Mar 2026 - 6:27

295

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Attitude matrix and connection forms

Published on 30 Apr 2020 - 2:50

126

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Derivative of real vector fields according to Koszul formula

Published on 30 Apr 2020 - 10:31

255

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$\nabla_a \nabla_b v^c$ abstract index notation

Published on 01 May 2020 - 10:41

475

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Category of vector bundles with connections

Published on 26 Mar 2026 - 2:14

844

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Vector bundle with flat connection over simply connected manifold is trivial

Published on 03 May 2020 - 23:09

158

Views

Sufficient condition on extending a vector to a parallel vector field.

Published on 04 May 2020 - 22:13

117

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Curvature tensors and local isometries (Homework)

Published on 25 Mar 2026 - 18:56

42

Views

Exact differentiation

Published on 09 May 2020 - 18:24

309

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Two linear connections have the same geodesics if their difference tensor is antisymmetric

Published on 09 May 2020 - 20:03

57

Views

Geodesic-unclear operator $\nabla$

Published on 11 May 2020 - 19:36

List Question

A splitting of an exact sequence is a connection

Taking directional derivatives of smooth sections of vector bundles

Curvature of orthogonal distribution in a Riemannian principal space

If $\triangledown$ is a connection, show that $\frac{1}{2}\triangledown$ does not satisify the product rule and is thus not a connection.

Having a problem calculating covariant derivative

Attitude matrix and connection forms

Derivative of real vector fields according to Koszul formula

$\nabla_a \nabla_b v^c$ abstract index notation

Category of vector bundles with connections

Vector bundle with flat connection over simply connected manifold is trivial

Sufficient condition on extending a vector to a parallel vector field.

Curvature tensors and local isometries (Homework)

Exact differentiation

Two linear connections have the same geodesics if their difference tensor is antisymmetric

Geodesic-unclear operator $\nabla$

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