Question

Show that the three vector fields $X, Y$ and $Z$ on $\Bbb R^3$ are tangent to the $2$-sphere $\Bbb S^2$.

score 263 · Answer 1 · 2022-02-13 15:46:16

263

Views

Show that the three vector fields $X, Y$ and $Z$ on $\Bbb R^3$ are tangent to the $2$-sphere $\Bbb S^2$.

Published on 13 Feb 2022 - 15:46

score 358 · Answer 2 · 2022-02-13 16:26:45

358

Views

Second fundamental form of Hypersurfaces

Published on 13 Feb 2022 - 16:26

score 56 · Answer 3 · 2022-03-01 17:03:50

56

Views

Riemannian submanifold of $\mathbb{R}^3$ is uniquely characterized by it's riemannian metric?

Published on 01 Mar 2022 - 17:03

score 142 · Answer 4 · 2022-03-08 17:46:14

142

Views

The Cartesian product of 2 embeddings is an embedding.

Published on 08 Mar 2022 - 17:46

score 53 · Answer 5 · 2022-03-11 15:53:02

53

Views

Conjugacy groups in compact Lie groups are compact embedded submanifolds

Published on 11 Mar 2022 - 15:53

score 71 · Answer 6 · 2022-03-17 11:24:19

71

Views

Determine the conjugacy-classes in the unit-quaternions $S^3$

Published on 17 Mar 2022 - 11:24

score 175 · Answer 7 · 2022-03-19 14:24:18

175

Views

Preimage of a submanifold under a submersion is again a submanifold

Published on 19 Mar 2022 - 14:24

score 29 · Answer 8 · 2026-03-28 04:35:55

29

Views

Subsets of a torus that are attainable from a given point by a given distribution (in the differentio-geometric sense)

Published on 28 Mar 2026 - 4:35

score 24 · Answer 9 · 2026-03-25 17:53:10

24

Views

nonperiodic orbits of a smooth $\mathbb{R}$-action on $\mathbb{R}^2$ are embedded lines.

Published on 25 Mar 2026 - 17:53

score 174 · Answer 10 · 2022-03-30 03:17:40

174

Views

Is a normal connection indeed a connection?

Published on 30 Mar 2022 - 3:17

score 231 · Answer 11 · 2022-03-30 14:02:41

231

Views

Why can't we apply the covariant derivative to normal vector fields?

Published on 30 Mar 2022 - 14:02

score 247 · Answer 12 · 2022-03-30 14:32:06

247

Views

Is the tangent bundle of a submanifold a submanifold of the tangent bundle?

Published on 30 Mar 2022 - 14:32

score 54 · Answer 13 · 2022-04-04 20:02:10

54

Views

Show that this map is an immersion but not an embbedding

Published on 04 Apr 2022 - 20:02

score 67 · Answer 14 · 2022-04-09 23:26:57

67

Views

Prove the following subset of $X = \mathbb{T}^2$ is not a submanifold of $X$

Published on 09 Apr 2022 - 23:26

score 235 · Answer 15 · 2022-04-27 04:10:28

235

Views

Separating two non-transversal manifolds via deformation

Published on 27 Apr 2022 - 4:10

List Question

Show that the three vector fields $X, Y$ and $Z$ on $\Bbb R^3$ are tangent to the $2$-sphere $\Bbb S^2$.

Second fundamental form of Hypersurfaces

Riemannian submanifold of $\mathbb{R}^3$ is uniquely characterized by it's riemannian metric?

The Cartesian product of 2 embeddings is an embedding.

Conjugacy groups in compact Lie groups are compact embedded submanifolds

Determine the conjugacy-classes in the unit-quaternions $S^3$

Preimage of a submanifold under a submersion is again a submanifold

Subsets of a torus that are attainable from a given point by a given distribution (in the differentio-geometric sense)

nonperiodic orbits of a smooth $\mathbb{R}$-action on $\mathbb{R}^2$ are embedded lines.

Is a normal connection indeed a connection?

Why can't we apply the covariant derivative to normal vector fields?

Is the tangent bundle of a submanifold a submanifold of the tangent bundle?

Show that this map is an immersion but not an embbedding

Prove the following subset of $X = \mathbb{T}^2$ is not a submanifold of $X$

Separating two non-transversal manifolds via deformation

Trending Questions

Popular # Hahtags

Popular Questions