List questions from fiber-bundles

Published on 16 Nov 2018 - 22:48

52

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Problem about frame bundle in Kobayashi's book

Published on 25 Mar 2026 - 3:18

36

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Is a union of compatible fiber bundles a fiber bundle?

Published on 20 Nov 2018 - 13:36

71

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Is there a group whose manifold is a fiber bundle with base is $S_1$ and fiber $\mathbb{Z_2}?$

Published on 25 Mar 2026 - 3:20

206

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Nontriviality of the Hopf Fibration

Published on 22 Mar 2026 - 10:58

229

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Integral curves are horizontal

Published on 20 Dec 2018 - 20:19

38

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A theorem on fibre bundles, $H^k(E) \cong H^{k+n}(E,E_0)$.

Published on 11 Jan 2019 - 17:26

53

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Are there topologically trivial bundles with a nonzero curvature?

Published on 14 Jan 2019 - 16:43

436

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Surjective homotopy equivalence which is not a fibration?

Published on 25 Mar 2026 - 9:26

74

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$H$ is admissible, then $P\rightarrow P/H$ is a principle $H$ -bundle.

Published on 25 Mar 2026 - 3:20

460

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Must every manifold bundle be a fiber bundle?

Published on 24 Jan 2019 - 17:12

52

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Definition of fibration from a compact Kahler manifold to a compact complex curve

Published on 26 Jan 2019 - 5:07

83

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Extending a monomorphism of bundles, Lemma 7.3, Atiyah, Shapiro

Published on 31 Jan 2019 - 16:55

92

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Question about a proposition in Kobayashi book about $G$-structures.

Published on 25 Mar 2026 - 3:18

506

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Doubt in the definition of principal bundle.

Published on 25 Mar 2026 - 3:19

List Question

Any spin $M^3$, exists a natural induced $\text{Pin}^-$ structure on Poincare dual PD

Problem about frame bundle in Kobayashi's book

Is a union of compatible fiber bundles a fiber bundle?

Is there a group whose manifold is a fiber bundle with base is $S_1$ and fiber $\mathbb{Z_2}?$

Nontriviality of the Hopf Fibration

Integral curves are horizontal

A theorem on fibre bundles, $H^k(E) \cong H^{k+n}(E,E_0)$.

Are there topologically trivial bundles with a nonzero curvature?

Surjective homotopy equivalence which is not a fibration?

$H$ is admissible, then $P\rightarrow P/H$ is a principle $H$ -bundle.

Must every manifold bundle be a fiber bundle?

Definition of fibration from a compact Kahler manifold to a compact complex curve

Extending a monomorphism of bundles, Lemma 7.3, Atiyah, Shapiro

Question about a proposition in Kobayashi book about $G$-structures.

Doubt in the definition of principal bundle.

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