List questions from principal-bundles

Published on 16 Apr 2019 - 23:58

141

Views

Curvature forms as exterior covariant derivative?

Published on 21 Apr 2019 - 16:27

49

Views

What is $\times_G$ in this context?

Published on 25 Apr 2019 - 3:18

170

Views

What is the description of the (local) sections of the associated vector bundle of a principal bundle?

Published on 26 Apr 2019 - 15:51

545

Views

Structure Group of a Principal G Bundle is G

Published on 30 Apr 2019 - 20:29

497

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Vertical bundle of a principal bundle. Isn't it always trivial?

Published on 04 May 2019 - 6:20

212

Views

Rational Euler number of oriented Seifert manifolds

Published on 04 May 2019 - 16:30

74

Views

How to prove two curves in the frame bundle to project to the same curve on base manifold?

Published on 22 Mar 2026 - 4:23

210

Views

Induced Connection on Vector Bundle from Principal Bundle

Published on 29 May 2019 - 18:33

53

Views

Problem of connectdness with Orthonormal frame bundle O(M)

Published on 01 Jun 2019 - 12:22

114

Views

Fixed point property for the total space and base space of a principal bundle

Published on 06 Jun 2019 - 7:15

172

Views

Covariant derivative of a section of a trivial(?) associated bundle

Published on 10 Jun 2019 - 12:06

217

Views

In a principal $G$-bundle $\pi: P \to M$ there is a right action on $P$ such that $M \cong P/G$

Published on 28 Jun 2019 - 16:42

44

Views

What is the relation between structure groups or transition functions of two isomorphic vector bundles?

Published on 29 Jun 2019 - 10:01

718

Views

If a principal bundle has a global section, then it is the trivial bundle

Published on 29 Jun 2019 - 18:58

List Question

Classifying maps and transition functions

Curvature forms as exterior covariant derivative?

What is $\times_G$ in this context?

What is the description of the (local) sections of the associated vector bundle of a principal bundle?

Structure Group of a Principal G Bundle is G

Vertical bundle of a principal bundle. Isn't it always trivial?

Rational Euler number of oriented Seifert manifolds

How to prove two curves in the frame bundle to project to the same curve on base manifold?

Induced Connection on Vector Bundle from Principal Bundle

Problem of connectdness with Orthonormal frame bundle O(M)

Fixed point property for the total space and base space of a principal bundle

Covariant derivative of a section of a trivial(?) associated bundle

In a principal $G$-bundle $\pi: P \to M$ there is a right action on $P$ such that $M \cong P/G$

What is the relation between structure groups or transition functions of two isomorphic vector bundles?

If a principal bundle has a global section, then it is the trivial bundle

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