Question

Is the restriction of a smooth vector bundle to an embedded submanifold also embedded

score 45 · Answer 1 · 2026-04-13 17:27:20

45

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Is the restriction of a smooth vector bundle to an embedded submanifold also embedded

Published on 13 Apr 2026 - 17:27

score 51 · Answer 2 · 2026-04-16 00:56:31

51

Views

Let $M$ be manifold and $p_i,q_i$ be finite points. If $v_i\in T_{p_i}M$, $w_i\in T_{q_i}M$ then there is an isotopy $H$ with $DH_1|_{p_i}(v_i) = w_i$

Published on 16 Apr 2026 - 0:56

score 51 · Answer 3 · 2026-04-10 11:02:26

51

Views

How Do I describe the Lie Algebra of this Symplectic Group?

Published on 10 Apr 2026 - 11:02

score 56 · Answer 4 · 2026-04-12 15:19:23

56

Views

Cartesian product of two manifolds and tangent spaces

Published on 12 Apr 2026 - 15:19

score 60 · Answer 5 · 2026-04-15 14:11:52

60

Views

Is this Construction of an Example of Embedding Correct?

Published on 15 Apr 2026 - 14:11

score 38 · Answer 6 · 2026-04-09 07:14:30

38

Views

How Can I Improve the Construction of this Embedding?

Published on 09 Apr 2026 - 7:14

score 115 · Answer 7 · 2026-04-12 13:29:14

115

Views

Is there a complete list of all compact spaces covered by $\mathbb{R}^2$?

Published on 12 Apr 2026 - 13:29

score 48 · Answer 8 · 2026-04-12 01:34:41

48

Views

Poincaré's definition of manifolds

Published on 12 Apr 2026 - 1:34

score 75 · Answer 9 · 2026-04-13 03:57:07

75

Views

On the smooth functions and differentiable manifolds

Published on 13 Apr 2026 - 3:57

score 58 · Answer 10 · 2026-03-27 06:17:01

58

Views

Calculate $H^(M - \{ p \})$ in terms of $H^$ for $M$ a closed manifold

Published on 27 Mar 2026 - 6:17

score 71 · Answer 11 · 2026-04-09 03:48:35

71

Views

Can an isotopy between diffeomorphisms be through diffeomorphisms?

Published on 09 Apr 2026 - 3:48

score 30 · Answer 12 · 2026-04-11 05:04:21

30

Views

Derivative of function in tangent space of sphere

Published on 11 Apr 2026 - 5:04

score 51 · Answer 13 · 2026-04-18 04:34:39

51

Views

Smooth map on manifolds from a given closed subset to a given point

Published on 18 Apr 2026 - 4:34

score 36 · Answer 14 · 2026-04-17 20:36:19

36

Views

Why did the author need to extend $\alpha$ to a neighborhood of $Q$? ("Analysis on Manifolds" by James R. Munkres.)

Published on 17 Apr 2026 - 20:36

score 87 · Answer 15 · 2026-04-14 00:22:35

87

Views

Exterior derivative for non-alternating forms

Published on 14 Apr 2026 - 0:22

List Question

Is the restriction of a smooth vector bundle to an embedded submanifold also embedded

Let $M$ be manifold and $p_i,q_i$ be finite points. If $v_i\in T_{p_i}M$, $w_i\in T_{q_i}M$ then there is an isotopy $H$ with $DH_1|_{p_i}(v_i) = w_i$

How Do I describe the Lie Algebra of this Symplectic Group?

Cartesian product of two manifolds and tangent spaces

Is this Construction of an Example of Embedding Correct?

How Can I Improve the Construction of this Embedding?

Is there a complete list of all compact spaces covered by $\mathbb{R}^2$?

Poincaré's definition of manifolds

On the smooth functions and differentiable manifolds

Calculate $H^(M - \{ p \})$ in terms of $H^$ for $M$ a closed manifold

Can an isotopy between diffeomorphisms be through diffeomorphisms?

Derivative of function in tangent space of sphere

Smooth map on manifolds from a given closed subset to a given point

Why did the author need to extend $\alpha$ to a neighborhood of $Q$? ("Analysis on Manifolds" by James R. Munkres.)

Exterior derivative for non-alternating forms

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