Question

Homotopic and Smoothly Homotopic Manifolds

score 351 · Answer 1 · 2019-12-04 08:16:53

351

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Homotopic and Smoothly Homotopic Manifolds

Published on 04 Dec 2019 - 8:16

score 172 · Answer 2 · 2019-12-04 17:58:12

172

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Question on Flows generated by smooth vector fields on a smooth manifold.

Published on 04 Dec 2019 - 17:58

score 44 · Answer 3 · 2026-04-03 21:16:56

44

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Property of a self-related vector field on a Lie group

Published on 03 Apr 2026 - 21:16

score 106 · Answer 4 · 2026-03-30 20:55:42

106

Views

$\mathbb{P}^2(\mathbb{R})$ can't be a smooth fiber bundle of a $1$-dimensional smooth manifold

Published on 30 Mar 2026 - 20:55

score 631 · Answer 5 · 2026-04-03 20:55:02

631

Views

How can I prove triviality of tangent bundle of $S^3$ using "Quaternion group"?

Published on 03 Apr 2026 - 20:55

score 844 · Answer 6 · 2026-03-29 03:35:59

844

Views

If a morphism of vector bundles is a vector space isomorphism on the fibres, then it it a vector bundle isomorphism.

Published on 29 Mar 2026 - 3:35

score 576 · Answer 7 · 2019-12-08 18:26:43

576

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Exercise 5.20 from John Lee's ISM. Every open subset of a immersed submanifold $S$ in the subspace topology is also open in the submanifold topology

Published on 08 Dec 2019 - 18:26

score 35 · Answer 8 · 2026-03-28 17:25:52

35

Views

A section may be written as a finite sum of other sections.

Published on 28 Mar 2026 - 17:25

score 851 · Answer 9 · 2019-12-08 21:14:18

851

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Immersion of $(RP)^2$ in $R^3$

Published on 08 Dec 2019 - 21:14

score 255 · Answer 10 · 2026-03-29 17:11:52

255

Views

Relating the spatial derivative of a flow and its generating vector field

Published on 29 Mar 2026 - 17:11

score 501 · Answer 11 · 2026-03-26 09:39:48

501

Views

Local isometry implies covering map for manifolds with boundary

Published on 26 Mar 2026 - 9:39

score 72 · Answer 12 · 2026-03-28 19:29:05

72

Views

Differential forms with coefficents in vector bundles

Published on 28 Mar 2026 - 19:29

score 490 · Answer 13 · 2019-12-10 04:37:42

490

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Exercise 5.40 John Lee ISM. $S \subset M$ is a level set of a smooth map $\Phi : M \to N$ with constant rank then $T_pS = {\rm Ker} d\Phi_p$ .

Published on 10 Dec 2019 - 4:37

score 296 · Answer 14 · 2026-04-03 20:58:16

296

Views

An exercise in differential topology

Published on 03 Apr 2026 - 20:58

score 72 · Answer 15 · 2026-03-27 17:24:24

72

Views

Subsets of manifold M for which rank of pushforward is constant

Published on 27 Mar 2026 - 17:24

List Question

Homotopic and Smoothly Homotopic Manifolds

Question on Flows generated by smooth vector fields on a smooth manifold.

Property of a self-related vector field on a Lie group

$\mathbb{P}^2(\mathbb{R})$ can't be a smooth fiber bundle of a $1$-dimensional smooth manifold

How can I prove triviality of tangent bundle of $S^3$ using "Quaternion group"?

If a morphism of vector bundles is a vector space isomorphism on the fibres, then it it a vector bundle isomorphism.

Exercise 5.20 from John Lee's ISM. Every open subset of a immersed submanifold $S$ in the subspace topology is also open in the submanifold topology

A section may be written as a finite sum of other sections.

Immersion of $(RP)^2$ in $R^3$

Relating the spatial derivative of a flow and its generating vector field

Local isometry implies covering map for manifolds with boundary

Differential forms with coefficents in vector bundles

Exercise 5.40 John Lee ISM. $S \subset M$ is a level set of a smooth map $\Phi : M \to N$ with constant rank then $T_pS = {\rm Ker} d\Phi_p$ .

An exercise in differential topology

Subsets of manifold M for which rank of pushforward is constant

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