List questions from principal-bundles

Published on 01 May 2020 - 19:54

154

Views

Under surjective submersion, pushforward of a $k$-form is smooth

Published on 14 May 2020 - 12:20

75

Views

Under which conditions every 2-form is a curvature form?

Published on 03 Jun 2020 - 10:40

99

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When is a functor the associated bundle construction?

Published on 05 Jun 2020 - 19:20

104

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Isomorphism between basic forms on principal bundle and forms on the associated vector bundle?

Published on 12 Jun 2020 - 9:42

94

Views

Formula for covariant derivatives on principal bundles

Published on 20 Jun 2020 - 5:39

150

Views

Isomorphism between a principal bundle and a pullback bundle.

Published on 25 Mar 2026 - 11:08

45

Views

On characterisation of smooth $G$ equivariant morphisms between Product manifolds with $G$ action

Published on 29 Jun 2020 - 8:35

100

Views

Equivalence between fiber bundles with fiber F, and principal Aut(F)-bundles

Published on 30 Jun 2020 - 20:33

75

Views

Principal bundles over affine schemes

Published on 07 Jul 2020 - 8:17

258

Views

Lie-algebra-valued one-forms evaluated at a specific point

Published on 19 Jul 2020 - 15:34

63

Views

Preimage of principal bundle under equivariant map

Published on 06 Jul 2016 - 9:58

192

Views

Principal bundle as homotopy fiber universally self-trivializes

Published on 19 Jul 2016 - 17:49

1.1k

Views

Effect of gauge transformation on connection 1-form of a principal connection

Published on 25 Mar 2026 - 11:16

162

Views

Structure group of quaternionic manifold

Published on 12 Aug 2016 - 10:49

List Question

Definition of principal bundle

Under surjective submersion, pushforward of a $k$-form is smooth

Under which conditions every 2-form is a curvature form?

When is a functor the associated bundle construction?

Isomorphism between basic forms on principal bundle and forms on the associated vector bundle?

Formula for covariant derivatives on principal bundles

Isomorphism between a principal bundle and a pullback bundle.

On characterisation of smooth $G$ equivariant morphisms between Product manifolds with $G$ action

Equivalence between fiber bundles with fiber F, and principal Aut(F)-bundles

Principal bundles over affine schemes

Lie-algebra-valued one-forms evaluated at a specific point

Preimage of principal bundle under equivariant map

Principal bundle as homotopy fiber universally self-trivializes

Effect of gauge transformation on connection 1-form of a principal connection

Structure group of quaternionic manifold

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