List questions from connections

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characteristic classes arising from connections are well-defined

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95

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Why is a connection on the bundle $SO(M)$ metric compatible?

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37

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Two approaches to the definition of a connection

Published on 06 Aug 2018 - 17:38

143

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A question about A new proof of a theorem of Narasimhan and Seshadri

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196

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Relation between gradient of a function with respect two linear connection

Published on 11 Aug 2018 - 5:50

664

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What is the curvature form $\Omega$ associated with the Levi-Civita connection for the $n$-sphere $S^n$ with respect to the standard metric?

Published on 14 Aug 2018 - 21:19

87

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Local construction of a map on a manifold

Published on 25 Mar 2026 - 7:43

99

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An Orthonormal Frame $(X_i)_i$ which satisfies $\bigtriangledown _{X_i} X_j =0$ at a point

Published on 25 Mar 2026 - 1:18

93

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A question about the definition of $\overline{\nabla}_X \langle Y,Z\rangle$

Published on 11 Sep 2018 - 15:52

441

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Looking at the connection 1-form on a principal G-bundle in coordinates

Published on 25 Mar 2026 - 1:41

861

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Flat sections of flat vector bundles

Published on 27 Sep 2018 - 1:16

142

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Equivalent definitions of Hyperkahler manifolds.

Published on 25 Mar 2026 - 11:01

334

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Confusion about connection, covariant derivative and definition of divergence of a vector in terms of covariant derivative

Published on 27 Sep 2018 - 11:12

777

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Horizontal Subbundles and Connection Maps

Published on 02 Oct 2018 - 7:55

List Question

A question about Narasimhan-Seshadri Donaldson theorem.

characteristic classes arising from connections are well-defined

Why is a connection on the bundle $SO(M)$ metric compatible?

Two approaches to the definition of a connection

A question about A new proof of a theorem of Narasimhan and Seshadri

Relation between gradient of a function with respect two linear connection

What is the curvature form $\Omega$ associated with the Levi-Civita connection for the $n$-sphere $S^n$ with respect to the standard metric?

Local construction of a map on a manifold

An Orthonormal Frame $(X_i)_i$ which satisfies $\bigtriangledown _{X_i} X_j =0$ at a point

A question about the definition of $\overline{\nabla}_X \langle Y,Z\rangle$

Looking at the connection 1-form on a principal G-bundle in coordinates

Flat sections of flat vector bundles

Equivalent definitions of Hyperkahler manifolds.

Confusion about connection, covariant derivative and definition of divergence of a vector in terms of covariant derivative

Horizontal Subbundles and Connection Maps

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