Question

Green's theorem via Stokes's theorem

score 153 · Answer 1 · 2026-04-13 07:29:35

153

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Green's theorem via Stokes's theorem

Published on 13 Apr 2026 - 7:29

score 498 · Answer 2 · 2026-04-14 18:39:21

498

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How to show that $f : \mathbb{R}^n → \mathbb{R}^n$, $f(x) = \frac{h(\Vert x \Vert)}{\Vert x \Vert} x$, is a diffeomorphism onto the open unit ball?

Published on 14 Apr 2026 - 18:39

score 542 · Answer 3 · 2026-04-10 21:05:00

542

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How to show that a subset of $\mathbb{R}^2$ is a closed one-dimensional submanifold?

Published on 10 Apr 2026 - 21:05

score 60 · Answer 4 · 2026-04-14 18:00:14

60

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Associated bundle - valued 1 forms.

Published on 14 Apr 2026 - 18:00

score 4.4k · Answer 5 · 2026-03-27 01:13:34

4.4k

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What does it mean for a manifold to be oriented?

Published on 27 Mar 2026 - 1:13

score 492 · Answer 6 · 2026-04-23 06:33:48

492

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Can we represent the curl as a multiplication by skew-symmetric matrix?

Published on 23 Apr 2026 - 6:33

score 236 · Answer 7 · 2026-04-23 11:57:42

236

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Induced Connection on $\Sigma\subset M$

Published on 23 Apr 2026 - 11:57

score 45 · Answer 8 · 2026-04-14 23:41:06

45

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Let $G=GL(n,\mathbb R)$, show that this application $ (A,B) \in G \times G \rightarrow AB \in G$ is $C^{\infty}$

Published on 14 Apr 2026 - 23:41

score 72 · Answer 9 · 2026-04-17 06:34:47

Given $f : P\rightarrow N$ $C^\infty$ and $\pi : M\rightarrow N$ local diffeomorphism show that $\tilde f$ s.t.$f= \tilde f \circ \pi$ is $C^\infty$

score 45 · Answer 10 · 2026-04-14 02:58:52

45

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showing pushfarward

Published on 14 Apr 2026 - 2:58

score 490 · Answer 11 · 2026-04-11 20:27:00

490

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Prove that this application $f:S^n\rightarrow \mathbb{RP}^n$ is a local diffeomorphism, alternative approach using curves

Published on 11 Apr 2026 - 20:27

score 76 · Answer 12 · 2026-04-15 06:30:42

76

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Closure of $\{ ( e^t\cos t,e^t\sin t) : t \in \Bbb R \}$

Published on 15 Apr 2026 - 6:30

score 57 · Answer 13 · 2026-04-19 17:22:42

57

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Unsolved regular value problem in $\mathbb{R}^n$

Published on 19 Apr 2026 - 17:22

score 4.9k · Answer 14 · 2026-04-11 01:10:37

4.9k

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Why spheres are not symplectic manifolds?

Published on 11 Apr 2026 - 1:10

score 292 · Answer 15 · 2026-03-25 19:05:34

292

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Hurewicz map factors through bordism homology

Published on 25 Mar 2026 - 19:05

List Question

Green's theorem via Stokes's theorem

How to show that $f : \mathbb{R}^n → \mathbb{R}^n$, $f(x) = \frac{h(\Vert x \Vert)}{\Vert x \Vert} x$, is a diffeomorphism onto the open unit ball?

How to show that a subset of $\mathbb{R}^2$ is a closed one-dimensional submanifold?

Associated bundle - valued 1 forms.

What does it mean for a manifold to be oriented?

Can we represent the curl as a multiplication by skew-symmetric matrix?

Induced Connection on $\Sigma\subset M$

Let $G=GL(n,\mathbb R)$, show that this application $ (A,B) \in G \times G \rightarrow AB \in G$ is $C^{\infty}$

Given $f : P\rightarrow N$ $C^\infty$ and $\pi : M\rightarrow N$ local diffeomorphism show that $\tilde f$ s.t.$f= \tilde f \circ \pi$ is $C^\infty$

showing pushfarward

Prove that this application $f:S^n\rightarrow \mathbb{RP}^n$ is a local diffeomorphism, alternative approach using curves

Closure of $\{ ( e^t\cos t,e^t\sin t) : t \in \Bbb R \}$

Unsolved regular value problem in $\mathbb{R}^n$

Why spheres are not symplectic manifolds?

Hurewicz map factors through bordism homology

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