List questions from connections

Published on 01 Jun 2023 - 12:09

112

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Understanding the coefficients of a pullback connection

Published on 06 Jun 2023 - 19:15

79

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exterior derivative vs connection: $d= \theta^i\wedge\nabla_{e_i}$

Published on 08 Jun 2023 - 19:18

57

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Is there a notion of Hurewicz fibration with additional structure equivalent to UNIQUe path lifting

Published on 26 Mar 2026 - 2:47

120

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For some $X\in \Gamma TM$, does there exist a parallel transport that preserves it?

Published on 14 Jun 2023 - 13:45

93

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The Covariant Derivative as a Derivation on $\mathrm{TFA}^{\infty}({M})$

Published on 22 Mar 2026 - 9:50

59

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Confusion with covariant derivatives with vielbeins

Published on 23 Feb 2026 - 10:04

85

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Can the units of an arbitrary differential operator be completely arbitrary on a smooth manifold?

Published on 25 Mar 2026 - 22:26

45

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Connections of Sections in terms of Connections of frame

Published on 01 Jul 2023 - 22:07

93

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Recover a connection from torsion

Published on 04 Jul 2023 - 15:45

58

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Classifying Vector Bundles arising from Induced Representations and Connections on those bundles

Published on 26 Mar 2026 - 6:28

81

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Marked points on fibers of $TS^2$ can trace out a helix during (parallel) transport.

Published on 25 Mar 2026 - 17:21

99

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Ray Tracing In Mathematical Spaces

Published on 06 Jul 2023 - 21:34

119

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“Simple” formula, besides Cartan’s equation, for exterior covariant derivative of vector-valued forms on principal bundle

Published on 26 Mar 2026 - 6:30

191

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Vector Bundle Connection and Agreement a on Curve

Published on 13 Jul 2023 - 17:24

List Question

What is the intuition (geometric picture) of Bianchi's identity

Understanding the coefficients of a pullback connection

exterior derivative vs connection: $d= \theta^i\wedge\nabla_{e_i}$

Is there a notion of Hurewicz fibration with additional structure equivalent to UNIQUe path lifting

For some $X\in \Gamma TM$, does there exist a parallel transport that preserves it?

The Covariant Derivative as a Derivation on $\mathrm{TFA}^{\infty}({M})$

Confusion with covariant derivatives with vielbeins

Can the units of an arbitrary differential operator be completely arbitrary on a smooth manifold?

Connections of Sections in terms of Connections of frame

Recover a connection from torsion

Classifying Vector Bundles arising from Induced Representations and Connections on those bundles

Marked points on fibers of $TS^2$ can trace out a helix during (parallel) transport.

Ray Tracing In Mathematical Spaces

“Simple” formula, besides Cartan’s equation, for exterior covariant derivative of vector-valued forms on principal bundle

Vector Bundle Connection and Agreement a on Curve

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