List questions from principal-bundles

Published on 22 Oct 2019 - 12:35

39

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Differential operators of a principle G-bundle

Published on 25 Mar 2026 - 11:22

314

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Isomorphism between space of differential forms and space of basic forms on pricipal $S^1$-bundle and independence of cohomology class

Published on 03 Nov 2019 - 15:45

350

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When is a connection on the adjoint bundle induced by a principal connection?

Published on 06 Nov 2019 - 22:10

171

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Associated vector bundles: Given a vector bundle $E$ show that $F(E)\times \mathbb{R}^n/GL(n,\mathbb{R})\cong E$

Published on 23 Nov 2019 - 13:40

101

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Immersed principal subbundles

Published on 23 Nov 2019 - 18:04

50

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Frame bundle of associative vector bundle returns the origional prinicipal bundle.

Published on 23 Nov 2019 - 20:30

66

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Transition functions of $S^3$ as a principal bundle over $\mathbb{C}P^1$.

Published on 24 Nov 2019 - 16:27

406

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Maurer-Cartan form defines a connection on a Lie Group considered as a principal $G$ bundle.

Published on 25 Nov 2019 - 21:10

76

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spin structure on $\Gamma \backslash S^n$

Published on 10 Dec 2019 - 5:06

184

Views

Grassmann manifold

Published on 24 Mar 2026 - 21:12

69

Views

Horizontal forms on principal $\mathbb{S}^1-$bundle

Published on 25 Mar 2026 - 14:12

710

Views

Why is the curvature of the connection $\bar{z_1}dz_1 + \bar{z_2}dz_2$ on the Hopf fibration not exact?

Published on 25 Mar 2026 - 7:46

56

Views

Understanding a question on vector bundles

Published on 09 Jan 2020 - 16:55

355

Views

Identify line bundles on $\mathbb{P}^n$

Published on 19 Jan 2020 - 23:19

List Question

Thin homotopy invariance of parallel transport

Differential operators of a principle G-bundle

Isomorphism between space of differential forms and space of basic forms on pricipal $S^1$-bundle and independence of cohomology class

When is a connection on the adjoint bundle induced by a principal connection?

Associated vector bundles: Given a vector bundle $E$ show that $F(E)\times \mathbb{R}^n/GL(n,\mathbb{R})\cong E$

Immersed principal subbundles

Frame bundle of associative vector bundle returns the origional prinicipal bundle.

Transition functions of $S^3$ as a principal bundle over $\mathbb{C}P^1$.

Maurer-Cartan form defines a connection on a Lie Group considered as a principal $G$ bundle.

spin structure on $\Gamma \backslash S^n$

Grassmann manifold

Horizontal forms on principal $\mathbb{S}^1-$bundle

Why is the curvature of the connection $\bar{z_1}dz_1 + \bar{z_2}dz_2$ on the Hopf fibration not exact?

Understanding a question on vector bundles

Identify line bundles on $\mathbb{P}^n$

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