Question

How to push up / lift a connection one-form from the base manifold to the total space?

score 173 · Answer 1 · 2026-03-26 04:53:11

173

Views

How to push up / lift a connection one-form from the base manifold to the total space?

Published on 26 Mar 2026 - 4:53

score 61 · Answer 2 · 2023-02-28 06:57:07

61

Views

Uniqueness (up to homeomorphism) of the fiber of a locally trivial fiber bundle with connected base

Published on 28 Feb 2023 - 6:57

score 62 · Answer 3 · 2026-03-25 12:10:06

62

Views

Erlangen-Style approach to Homogneoues Fiber Bundles

Published on 25 Mar 2026 - 12:10

score 17 · Answer 4 · 2023-03-01 12:19:22

17

Views

How to show that any section here will give rise to family of functions and how to specify the compatibility conditions

Published on 01 Mar 2023 - 12:19

score 126 · Answer 5 · 2026-03-26 12:41:26

126

Views

Riemann curvature tensor "as a" vector in the total space?

Published on 26 Mar 2026 - 12:41

score 163 · Answer 6 · 2026-03-25 12:53:25

163

Views

Pullback of a covering map along the covering map.

Published on 25 Mar 2026 - 12:53

score 162 · Answer 7 · 2026-02-23 04:26:56

162

Views

A topological Ehresmann's theorem

Published on 23 Feb 2026 - 4:26

score 38 · Answer 8 · 2026-03-25 11:04:35

38

Views

In the Hopf fibration, does the total space remain unchanged if fiber and base spacec interchanged

Published on 25 Mar 2026 - 11:04

score 66 · Answer 9 · 2026-03-26 03:12:22

66

Views

For every local section of a $SO(M)$ there exists precisely two local sections of $\text{Spin}(M)$

Published on 26 Mar 2026 - 3:12

score 180 · Answer 10 · 2023-04-04 10:21:08

180

Views

Finite fundamental group of the total space of an orientable circle bundle

Published on 04 Apr 2023 - 10:21

score 84 · Answer 11 · 2026-03-26 03:11:29

84

Views

Existence of smooth global orthonormal frame on a Hilbert bundle

Published on 26 Mar 2026 - 3:11

score 216 · Answer 12 · 2023-04-20 15:33:27

216

Views

Is the non-trivial $S^3$ bundle over the torus $T^2$ an $H$-space?

Published on 20 Apr 2023 - 15:33

score 191 · Answer 13 · 2026-03-26 04:51:58

191

Views

Use parallel transport to explain the homotopy lifting property

Published on 26 Mar 2026 - 4:51

score 312 · Answer 14 · 2023-04-23 15:18:17

312

Views

Horizontal lift of a vector field on a Lie group

Published on 23 Apr 2023 - 15:18

score 289 · Answer 15 · 2026-03-25 14:33:15

289

Views

Triviality of line bundles

Published on 25 Mar 2026 - 14:33

List Question

How to push up / lift a connection one-form from the base manifold to the total space?

Uniqueness (up to homeomorphism) of the fiber of a locally trivial fiber bundle with connected base

Erlangen-Style approach to Homogneoues Fiber Bundles

How to show that any section here will give rise to family of functions and how to specify the compatibility conditions

Riemann curvature tensor "as a" vector in the total space?

Pullback of a covering map along the covering map.

A topological Ehresmann's theorem

In the Hopf fibration, does the total space remain unchanged if fiber and base spacec interchanged

For every local section of a $SO(M)$ there exists precisely two local sections of $\text{Spin}(M)$

Finite fundamental group of the total space of an orientable circle bundle

Existence of smooth global orthonormal frame on a Hilbert bundle

Is the non-trivial $S^3$ bundle over the torus $T^2$ an $H$-space?

Use parallel transport to explain the homotopy lifting property

Horizontal lift of a vector field on a Lie group

Triviality of line bundles

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