Question

Are a (co)tangent vector's "coordinate components" equivalent to the "coordinate components of its pushfoward to R^n"?

score 57 · Answer 1 · 2021-10-31 21:18:48

57

Views

Are a (co)tangent vector's "coordinate components" equivalent to the "coordinate components of its pushfoward to R^n"?

Published on 31 Oct 2021 - 21:18

score 128 · Answer 2 · 2021-11-10 00:45:59

128

Views

Differentiable manifold homeomorphic to the 2-torus

Published on 10 Nov 2021 - 0:45

score 100 · Answer 3 · 2021-11-15 17:47:30

100

Views

How to show if two regular surfaces are diffeomorphic

Published on 15 Nov 2021 - 17:47

score 220 · Answer 4 · 2021-11-22 06:53:27

220

Views

Diffeomorphism between $\mathbf S^2 \times \mathbf S^2$ and complex projective hypersurface

Published on 22 Nov 2021 - 6:53

score 89 · Answer 5 · 2021-11-30 22:44:21

89

Views

The inverse of the differential of f inverse

Published on 30 Nov 2021 - 22:44

score 56 · Answer 6 · 2021-12-06 15:33:55

56

Views

Prove that $f:\mathbb{R}^n \rightarrow \mathbb{R}^n $ is a $C^1$ diffeomorphism

Published on 06 Dec 2021 - 15:33

score 467 · Answer 7 · 2021-12-08 00:32:45

467

Views

Smoothness of a manifold implies all maps of its altas' charts are diffeomorphism?

Published on 08 Dec 2021 - 0:32

score 113 · Answer 8 · 2021-12-10 22:57:05

113

Views

If M is a non-compact manifold, then Diff(M) is not a manifold. Yet it still has manifold-like properties. What is it?

Published on 10 Dec 2021 - 22:57

score 159 · Answer 9 · 2021-12-26 12:33:31

159

Views

Prove that a map $f:B(0,1)\subset \mathbb R^n\to \mathbb R^n$ is a diffeomorphism

Published on 26 Dec 2021 - 12:33

score 111 · Answer 10 · 2021-12-29 08:53:53

111

Views

Restriction of vector bundle to norm 1 is a covering map

Published on 29 Dec 2021 - 8:53

score 356 · Answer 11 · 2022-01-05 02:46:16

356

Views

Are transition maps diffeomorphisms?

Published on 05 Jan 2022 - 2:46

score 81 · Answer 12 · 2022-01-09 18:58:04

81

Views

Prove that $\mathbb R\mathrm P^1$ is diffeomorphic to certain submanifold of $\mathbb R^3$.

Published on 09 Jan 2022 - 18:58

score 78 · Answer 13 · 2022-01-16 09:50:04

78

Views

Condition on local flows that imply completeness of vector field

Published on 16 Jan 2022 - 9:50

score 532 · Answer 14 · 2022-01-18 11:25:26

532

Views

On proving that Constant Rank Theorem $\implies$ Inverse Function Theorem

Published on 18 Jan 2022 - 11:25

score 91 · Answer 15 · 2022-01-30 23:10:54

91

Views

An explicit expression for a diffeomorphism

Published on 30 Jan 2022 - 23:10

List Question

Are a (co)tangent vector's "coordinate components" equivalent to the "coordinate components of its pushfoward to R^n"?

Differentiable manifold homeomorphic to the 2-torus

How to show if two regular surfaces are diffeomorphic

Diffeomorphism between $\mathbf S^2 \times \mathbf S^2$ and complex projective hypersurface

The inverse of the differential of f inverse

Prove that $f:\mathbb{R}^n \rightarrow \mathbb{R}^n $ is a $C^1$ diffeomorphism

Smoothness of a manifold implies all maps of its altas' charts are diffeomorphism?

If M is a non-compact manifold, then Diff(M) is not a manifold. Yet it still has manifold-like properties. What is it?

Prove that a map $f:B(0,1)\subset \mathbb R^n\to \mathbb R^n$ is a diffeomorphism

Restriction of vector bundle to norm 1 is a covering map

Are transition maps diffeomorphisms?

Prove that $\mathbb R\mathrm P^1$ is diffeomorphic to certain submanifold of $\mathbb R^3$.

Condition on local flows that imply completeness of vector field

On proving that Constant Rank Theorem $\implies$ Inverse Function Theorem

An explicit expression for a diffeomorphism

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