Question

Let $M$ be a smooth manifold. Can we say that $M - M = \{ n - m : n,m \in M\}$ is also a smooth manifold?

score 176 · Answer 1 · 2026-03-29 11:06:57

176

Views

Let $M$ be a smooth manifold. Can we say that $M - M = \{ n - m : n,m \in M\}$ is also a smooth manifold?

Published on 29 Mar 2026 - 11:06

score 514 · Answer 2 · 2026-03-25 03:04:15

514

Views

If $f : M \to N$ is $C^k$, then $\Gamma(f)$ is a closed embedded submanifold of $M \times N$

Published on 25 Mar 2026 - 3:04

score 295 · Answer 3 · 2026-03-29 11:07:04

295

Views

In what dimensions are PL and Diff equivalent?

Published on 29 Mar 2026 - 11:07

score 86 · Answer 4 · 2026-03-25 22:09:50

86

Views

Calculating integral over manifold given by equations

Published on 25 Mar 2026 - 22:09

score 431 · Answer 5 · 2018-12-15 13:45:25

431

Views

Compatibility of coordinate charts

Published on 15 Dec 2018 - 13:45

score 54 · Answer 6 · 2026-03-26 21:26:07

54

Views

Calculate the integral of the following function over the sphere in $\mathbb{R}^4$

Published on 26 Mar 2026 - 21:26

score 1.7k · Answer 7 · 2018-12-16 19:38:24

1.7k

Views

Degree of a Smooth Map between Manifolds

Published on 16 Dec 2018 - 19:38

score 167 · Answer 8 · 2018-12-16 21:12:51

167

Views

How does following formula of the Lie bracket of two vector fields arise?

Published on 16 Dec 2018 - 21:12

score 877 · Answer 9 · 2018-12-17 17:06:52

877

Views

Is this a vector field on the sphere?

Published on 17 Dec 2018 - 17:06

score 28 · Answer 10 · 2018-12-18 09:55:36

28

Views

On the existence of the interior product on p-forms

Published on 18 Dec 2018 - 9:55

score 114 · Answer 11 · 2018-12-18 23:03:18

114

Views

An explicit homotopy equivalent from 3 circles that are tangent to neighbor to bouquet of 3 circles

Published on 18 Dec 2018 - 23:03

score 567 · Answer 12 · 2018-12-19 06:51:58

567

Views

Rank of a smooth map is lower semicontinuous?

Published on 19 Dec 2018 - 6:51

score 67 · Answer 13 · 2026-03-25 05:11:20

67

Views

Low dimensional structures in a high dimensional space

Published on 25 Mar 2026 - 5:11

score 79 · Answer 14 · 2026-03-28 03:55:32

79

Views

Equivalence of two ways of defining a Riemannian metric

Published on 28 Mar 2026 - 3:55

score 151 · Answer 15 · 2018-12-21 05:05:29

151

Views

Measurable set on Manifold.

Published on 21 Dec 2018 - 5:05

List Question

Let $M$ be a smooth manifold. Can we say that $M - M = \{ n - m : n,m \in M\}$ is also a smooth manifold?

If $f : M \to N$ is $C^k$, then $\Gamma(f)$ is a closed embedded submanifold of $M \times N$

In what dimensions are PL and Diff equivalent?

Calculating integral over manifold given by equations

Compatibility of coordinate charts

Calculate the integral of the following function over the sphere in $\mathbb{R}^4$

Degree of a Smooth Map between Manifolds

How does following formula of the Lie bracket of two vector fields arise?

Is this a vector field on the sphere?

On the existence of the interior product on p-forms

An explicit homotopy equivalent from 3 circles that are tangent to neighbor to bouquet of 3 circles

Rank of a smooth map is lower semicontinuous?

Low dimensional structures in a high dimensional space

Equivalence of two ways of defining a Riemannian metric

Measurable set on Manifold.

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