List questions from connections

Published on 18 Oct 2020 - 15:39

55

Views

How to compute a connection in practice?

Published on 19 Oct 2020 - 23:13

113

Views

Choice of Connection independent on zero set of section

Published on 21 Oct 2020 - 15:51

192

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On the choice of the horizontal space of a principal bundle.

Published on 27 Mar 2026 - 21:35

67

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Condition for a vector $\xi \in T_{\theta}TM$ to be in $T_{\theta}SM$

Published on 25 Oct 2020 - 18:48

57

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Quantitative statement about torsion and rotating vectors

Published on 25 Oct 2020 - 21:00

261

Views

Does a flat partial connection promote to a flat connection?

Published on 26 Oct 2020 - 3:47

86

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What does it mean to take the connection form with respect to a tangent field?

Published on 26 Oct 2020 - 15:12

107

Views

Riemannian connection on product manifolds vanishes

Published on 31 Oct 2020 - 21:13

324

Views

"Horizontal" Foliation on a fiber bundle

Published on 25 Mar 2026 - 13:05

406

Views

Construction of a connection on a vector bundle $E\to M$ with trivial determinant bundle

Published on 03 Nov 2020 - 7:23

468

Views

Interpretation of the Weil algebra

Published on 04 Nov 2020 - 13:55

618

Views

Exponential map and Lie groups

Published on 05 Nov 2020 - 12:52

54

Views

Is $M= \{(x,y) \in \mathbb{R^2} : x \in \mathbb{N} \lor y \in \mathbb{N}\} $ polygonally connected?

Published on 09 Nov 2020 - 15:10

89

Views

To what extent does the connection one-form on a principal fibre bundle determine the Ehresmann connection?

Published on 27 Mar 2026 - 21:35

List Question

Connection on pullback bundle.

How to compute a connection in practice?

Choice of Connection independent on zero set of section

On the choice of the horizontal space of a principal bundle.

Condition for a vector $\xi \in T_{\theta}TM$ to be in $T_{\theta}SM$

Quantitative statement about torsion and rotating vectors

Does a flat partial connection promote to a flat connection?

What does it mean to take the connection form with respect to a tangent field?

Riemannian connection on product manifolds vanishes

"Horizontal" Foliation on a fiber bundle

Construction of a connection on a vector bundle $E\to M$ with trivial determinant bundle

Interpretation of the Weil algebra

Exponential map and Lie groups

Is $M= \{(x,y) \in \mathbb{R^2} : x \in \mathbb{N} \lor y \in \mathbb{N}\} $ polygonally connected?

To what extent does the connection one-form on a principal fibre bundle determine the Ehresmann connection?

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