Question

Sufmanifold with prescribed first and second fundamental form

score 232 · Answer 1 · 2016-04-28 19:16:21

232

Views

Sufmanifold with prescribed first and second fundamental form

Published on 28 Apr 2016 - 19:16

score 685 · Answer 2 · 2013-11-15 14:04:14

685

Views

Submanifold given by an immersion open onto its image

Published on 15 Nov 2013 - 14:04

score 1.1k · Answer 3 · 2017-04-20 20:29:30

1.1k

Views

Proving a subset is not a submanifold

Published on 20 Apr 2017 - 20:29

score 112 · Answer 4 · 2017-04-28 22:23:54

112

Views

Manifolds , Submanifolds and Embeddings

Published on 28 Apr 2017 - 22:23

score 362 · Answer 5 · 2017-05-19 21:12:40

362

Views

Geodesics of manifold and geodesics of its submanifold with induced metric

Published on 19 May 2017 - 21:12

score 141 · Answer 6 · 2017-06-04 10:18:31

141

Views

Show that image of $f(\phi, \psi ) = ((R+r\cos\varphi ) \cos \psi, (R+r\cos \varphi) \sin \psi, r \sin \varphi)$ is a submanifold.

Published on 04 Jun 2017 - 10:18

score 262 · Answer 7 · 2017-06-04 21:15:29

262

Views

Show that $f^{-1}$ of a critical value isn't a submanifold

Published on 04 Jun 2017 - 21:15

score 406 · Answer 8 · 2017-06-05 14:29:44

406

Views

Decomposition of the tangent space of a manifold with inner product

Published on 05 Jun 2017 - 14:29

score 132 · Answer 9 · 2017-06-08 22:39:18

132

Views

Show that a submanifold is lagrangian

Published on 08 Jun 2017 - 22:39

score 530 · Answer 10 · 2017-06-12 14:35:39

530

Views

Local parameterization of a submanifold

Published on 12 Jun 2017 - 14:35

score 136 · Answer 11 · 2017-06-15 17:44:39

136

Views

Intuition behind the definition of extrinsic curvature of a submanifold

Published on 15 Jun 2017 - 17:44

score 87 · Answer 12 · 2017-06-23 18:33:29

87

Views

If $S\subset\mathbb{R}^{m+n}$ is a smooth submanifold and $x\in S\Rightarrow x(m+1)=\ldots=x(m+n)=0$, is $S\subset\mathbb{R}^m$ a submanifold?

Published on 23 Jun 2017 - 18:33

score 501 · Answer 13 · 2017-06-23 22:08:23

501

Views

Curvature of a Riemannian submersion

Published on 23 Jun 2017 - 22:08

score 383 · Answer 14 · 2017-06-26 10:20:18

383

Views

Show that the union of the unit circle and a spiral is not a submanifold of $\mathbb{R}^2$

Published on 26 Jun 2017 - 10:20

score 1.8k · Answer 15 · 2026-03-27 19:53:16

1.8k

Views

Curvature of the complex projective space.

Published on 27 Mar 2026 - 19:53

List Question

Sufmanifold with prescribed first and second fundamental form

Submanifold given by an immersion open onto its image

Proving a subset is not a submanifold

Manifolds , Submanifolds and Embeddings

Geodesics of manifold and geodesics of its submanifold with induced metric

Show that image of $f(\phi, \psi ) = ((R+r\cos\varphi ) \cos \psi, (R+r\cos \varphi) \sin \psi, r \sin \varphi)$ is a submanifold.

Show that $f^{-1}$ of a critical value isn't a submanifold

Decomposition of the tangent space of a manifold with inner product

Show that a submanifold is lagrangian

Local parameterization of a submanifold

Intuition behind the definition of extrinsic curvature of a submanifold

If $S\subset\mathbb{R}^{m+n}$ is a smooth submanifold and $x\in S\Rightarrow x(m+1)=\ldots=x(m+n)=0$, is $S\subset\mathbb{R}^m$ a submanifold?

Curvature of a Riemannian submersion

Show that the union of the unit circle and a spiral is not a submanifold of $\mathbb{R}^2$

Curvature of the complex projective space.

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