Question

Distinct differentiable structures?

score 217 · Answer 1 · 2019-12-10 15:05:00

217

Views

Distinct differentiable structures?

Published on 10 Dec 2019 - 15:05

score 278 · Answer 2 · 2026-03-26 17:11:50

278

Views

Why the pullback bundle is a submanifold?

Published on 26 Mar 2026 - 17:11

score 81 · Answer 3 · 2019-12-11 01:40:21

81

Views

Is the vector field smooth?

Published on 11 Dec 2019 - 1:40

score 962 · Answer 4 · 2026-04-03 22:26:54

962

Views

Proving John Lee's ISM proposition 5.47. For a smooth real function, each regular sublevel set is a regular domain.

Published on 03 Apr 2026 - 22:26

score 184 · Answer 5 · 2019-12-11 18:16:43

184

Views

Reference: unique differentiable structure on $\mathbb{R}$?

Published on 11 Dec 2019 - 18:16

score 177 · Answer 6 · 2026-04-02 23:41:26

177

Views

Differential of the radial distance of a Riemannian manifold

Published on 02 Apr 2026 - 23:41

score 293 · Answer 7 · 2026-03-29 17:07:14

293

Views

Why is the map $(p,t) \mapsto \gamma_p(t)$, from the flow of the gradient, an immersion?

Published on 29 Mar 2026 - 17:07

score 227 · Answer 8 · 2019-12-12 23:07:26

227

Views

Understanding John Lee's proof of the Transversality Homotopy Theorem. Restriction of a smooth map to a coordinate does not change the differential?

Published on 12 Dec 2019 - 23:07

score 52 · Answer 9 · 2026-03-26 11:03:16

52

Views

For $p$ in the boundary of a smooth manifold, is there $q$ near $p$ for which $p$ is the closest boundary element to $q$?

Published on 26 Mar 2026 - 11:03

score 192 · Answer 10 · 2026-04-01 08:50:51

192

Views

Grassmann manifold

Published on 01 Apr 2026 - 8:50

score 169 · Answer 11 · 2026-04-04 00:37:42

169

Views

Question from Lee's proof that closed Lie subgroup is embedded. (Computation of differential of the group multiplication map)

Published on 04 Apr 2026 - 0:37

score 34 · Answer 12 · 2026-03-28 17:25:59

34

Views

A submanifold of vector bundle whose intersection with each $E_p$ is linear subspace of same dimension is a subbundle?

Published on 28 Mar 2026 - 17:25

score 2.9k · Answer 13 · 2026-04-04 00:35:51

2.9k

Views

Can a Lie group be discrete, or even finite?

Published on 04 Apr 2026 - 0:35

score 224 · Answer 14 · 2026-03-28 22:37:15

224

Views

Distribution on a manifold

Published on 28 Mar 2026 - 22:37

score 1.1k · Answer 15 · 2019-12-17 09:38:36

1.1k

Views

Compute the cohomology of the real projective plane $\Bbb R P^2$

Published on 17 Dec 2019 - 9:38

List Question

Distinct differentiable structures?

Why the pullback bundle is a submanifold?

Is the vector field smooth?

Proving John Lee's ISM proposition 5.47. For a smooth real function, each regular sublevel set is a regular domain.

Reference: unique differentiable structure on $\mathbb{R}$?

Differential of the radial distance of a Riemannian manifold

Why is the map $(p,t) \mapsto \gamma_p(t)$, from the flow of the gradient, an immersion?

Understanding John Lee's proof of the Transversality Homotopy Theorem. Restriction of a smooth map to a coordinate does not change the differential?

For $p$ in the boundary of a smooth manifold, is there $q$ near $p$ for which $p$ is the closest boundary element to $q$?

Grassmann manifold

Question from Lee's proof that closed Lie subgroup is embedded. (Computation of differential of the group multiplication map)

A submanifold of vector bundle whose intersection with each $E_p$ is linear subspace of same dimension is a subbundle?

Can a Lie group be discrete, or even finite?

Distribution on a manifold

Compute the cohomology of the real projective plane $\Bbb R P^2$

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