List questions from connections

Published on 26 May 2022 - 13:55

104

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Gauge equivalence of Lie-valued forms on the base space of a principal bundle

Published on 26 Mar 2026 - 17:53

275

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Confusion on the intuition of a connection

Published on 30 May 2022 - 0:14

588

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how to compute levi-civita connection on $S^2$ with coordinates in $\mathbb{R}^3$?

Published on 04 Jun 2022 - 3:16

103

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Is this the right definition for a covariant derivative on a principal bundle?

Published on 28 Mar 2026 - 16:13

116

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Is My Understanding of Covariant Derivative Right?

Published on 08 Jun 2022 - 20:01

444

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Covariant derivative on associated vector bundle under change of section

Published on 09 Jun 2022 - 9:03

220

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Torsion Free Spin Connection

Published on 23 Feb 2026 - 2:51

31

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Showing pointwise $\mathbb C$-linearity of a $1$-form $\omega$

Published on 16 Jun 2022 - 22:15

188

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Is there a "universal connection" on the universal $G$-bundle?

Published on 26 Mar 2026 - 10:58

106

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Hessian (as the second covariant derivative) of a smooth function

Published on 19 Jun 2022 - 22:51

74

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Constant $SU(2)$ ASD connections on $\mathbb R^4$ are Flat

Published on 26 Mar 2026 - 17:53

277

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Two ways of defining connection coefficients

Published on 29 Mar 2026 - 11:08

76

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How to show base-space curvature of $U(1)$-principal bundle has integral periods?

Published on 28 Mar 2026 - 5:23

30

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Uniqueness of $\hat{\nabla}:C^{\infty}(\tau^{}_\mathbb{C} \otimes \zeta) \to C^{\infty}(\Lambda^2 \tau^{}_\mathbb{C} \otimes \zeta)$

Published on 28 Mar 2026 - 20:09

List Question

Obtaining an explicit formula for a connection applied to an almost complex structure

Gauge equivalence of Lie-valued forms on the base space of a principal bundle

Confusion on the intuition of a connection

how to compute levi-civita connection on $S^2$ with coordinates in $\mathbb{R}^3$?

Is this the right definition for a covariant derivative on a principal bundle?

Is My Understanding of Covariant Derivative Right?

Covariant derivative on associated vector bundle under change of section

Torsion Free Spin Connection

Showing pointwise $\mathbb C$-linearity of a $1$-form $\omega$

Is there a "universal connection" on the universal $G$-bundle?

Hessian (as the second covariant derivative) of a smooth function

Constant $SU(2)$ ASD connections on $\mathbb R^4$ are Flat

Two ways of defining connection coefficients

How to show base-space curvature of $U(1)$-principal bundle has integral periods?

Uniqueness of $\hat{\nabla}:C^{\infty}(\tau^{}_\mathbb{C} \otimes \zeta) \to C^{\infty}(\Lambda^2 \tau^{}_\mathbb{C} \otimes \zeta)$

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