List questions from connections

Published on 27 Mar 2026 - 22:52

279

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What is an infinitesimal automorphism of a connection?

Published on 26 Apr 2015 - 16:31

230

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Quick question about covariant derivative

Published on 27 Apr 2015 - 11:06

91

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are extensions of flat connections flat?

Published on 05 May 2015 - 8:29

451

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When do the Nakano identities hold?

Published on 26 Mar 2026 - 1:01

77

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How to obtain the metric tensor of a principal bundle total space given a connection (assuming it is metric compatible) in the total space?

Published on 26 Mar 2026 - 23:10

357

Views

commuting property of connections and bundle homomorphisms

Published on 30 May 2015 - 13:39

72

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Confusion on when components of a vector relative to a basis are not components of a tensor

Published on 08 Jun 2015 - 15:16

326

Views

Introductions to Ehresmann connections and Chern-Simons forms

Published on 26 Mar 2026 - 22:13

207

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Exercise about Christoffel symbols: prove that $\Gamma^k_{ij}(p)+\Gamma^k_{ji}(p)=0$

Published on 27 Mar 2026 - 22:57

108

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Rigorously what is this integral?

Published on 25 Mar 2026 - 19:01

270

Views

Applying $\bar \partial$ to a tensor product of holomorphic vector bundles bundles

Published on 24 Jun 2015 - 0:35

314

Views

Manifold,affine connection,vector field

Published on 26 Mar 2026 - 1:27

139

Views

Is this operation meaningful or it is a mistake in the book?

Published on 26 Mar 2026 - 19:19

80

Views

Connectedness of circle without center line across it

Published on 02 Jul 2015 - 6:18

List Question

Non-affinely parametrized geodesics

What is an infinitesimal automorphism of a connection?

Quick question about covariant derivative

are extensions of flat connections flat?

When do the Nakano identities hold?

How to obtain the metric tensor of a principal bundle total space given a connection (assuming it is metric compatible) in the total space?

commuting property of connections and bundle homomorphisms

Confusion on when components of a vector relative to a basis are not components of a tensor

Introductions to Ehresmann connections and Chern-Simons forms

Exercise about Christoffel symbols: prove that $\Gamma^k_{ij}(p)+\Gamma^k_{ji}(p)=0$

Rigorously what is this integral?

Applying $\bar \partial$ to a tensor product of holomorphic vector bundles bundles

Manifold,affine connection,vector field

Is this operation meaningful or it is a mistake in the book?

Connectedness of circle without center line across it

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