Question

Other ways to specify a submanifold?

score 47 · Answer 1 · 2023-05-20 12:40:21

47

Views

Other ways to specify a submanifold?

Published on 20 May 2023 - 12:40

score 132 · Answer 2 · 2023-05-25 08:06:25

132

Views

Explicit Lie group embedding of $O(n)$ into $SO(n+1)$

Published on 25 May 2023 - 8:06

score 44 · Answer 3 · 2026-03-25 12:54:01

44

Views

Is any minimal hypersurface also a minimal submanifold?

Published on 25 Mar 2026 - 12:54

score 99 · Answer 4 · 2023-06-08 05:30:29

99

Views

Clarification on the Definition of a Submanifold of $\mathbb{R}^N$ (and the differentiability of it's charts)

Published on 08 Jun 2023 - 5:30

score 23 · Answer 5 · 2023-06-08 08:49:17

Show that $M = \{(r \cos(\sigma), r \sin(\sigma), \sigma ): r \in (0,1), \sigma \in \mathbb{R}\}$is a submanifold of $\mathbb{R}^3$ (Helicoid)

score 65 · Answer 6 · 2023-06-12 18:06:00

65

Views

Understanding the $k$-dimensional totally-geodesic submanifolds in the Poincare Ball model of the Real Hyperbolic space

Published on 12 Jun 2023 - 18:06

score 31 · Answer 7 · 2026-02-23 06:38:05

31

Views

Restricting open neighborhood of submanifold

Published on 23 Feb 2026 - 6:38

score 154 · Answer 8 · 2023-06-29 04:20:21

154

Views

Guillemin & Pollack Exercise 1.8.14 (Generalized inverse function theorem)

Published on 29 Jun 2023 - 4:20

score 61 · Answer 9 · 2026-02-23 04:55:08

61

Views

Intersection number of submanifolds with boundary

Published on 23 Feb 2026 - 4:55

score 51 · Answer 10 · 2023-07-11 20:40:07

51

Views

Proving embedded submanifolds have submanifold charts

Published on 11 Jul 2023 - 20:40

score 84 · Answer 11 · 2023-07-12 17:52:22

84

Views

Misunderstanding of a theorem, that seems to state that the image of a smooth map of constant rank with compact domain is an embedded submanifold

Published on 12 Jul 2023 - 17:52

score 43 · Answer 12 · 2023-07-23 13:32:48

43

Views

Adapted expression to a submanifold for a smooth function

Published on 23 Jul 2023 - 13:32

score 41 · Answer 13 · 2023-07-26 12:58:49

41

Views

When does a map become an immersion? When does a subspace of matrices space become a submanifold?

Published on 26 Jul 2023 - 12:58

score 105 · Answer 14 · 2023-07-30 16:22:26

105

Views

On the definition of a regular submanifold

Published on 30 Jul 2023 - 16:22

score 424 · Answer 15 · 2023-08-03 06:00:21

424

Views

Professor Lee's Introduction to Smooth Manifolds Second Edition Lemma 10.35

Published on 03 Aug 2023 - 6:00

List Question

Other ways to specify a submanifold?

Explicit Lie group embedding of $O(n)$ into $SO(n+1)$

Is any minimal hypersurface also a minimal submanifold?

Clarification on the Definition of a Submanifold of $\mathbb{R}^N$ (and the differentiability of it's charts)

Show that $M = \{(r \cos(\sigma), r \sin(\sigma), \sigma ): r \in (0,1), \sigma \in \mathbb{R}\}$is a submanifold of $\mathbb{R}^3$ (Helicoid)

Understanding the $k$-dimensional totally-geodesic submanifolds in the Poincare Ball model of the Real Hyperbolic space

Restricting open neighborhood of submanifold

Guillemin & Pollack Exercise 1.8.14 (Generalized inverse function theorem)

Intersection number of submanifolds with boundary

Proving embedded submanifolds have submanifold charts

Misunderstanding of a theorem, that seems to state that the image of a smooth map of constant rank with compact domain is an embedded submanifold

Adapted expression to a submanifold for a smooth function

When does a map become an immersion? When does a subspace of matrices space become a submanifold?

On the definition of a regular submanifold

Professor Lee's Introduction to Smooth Manifolds Second Edition Lemma 10.35

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