Question

Calculate $\int \limits_{A}^{ }\frac{y}{x^3}\, dy\, dx$ with $A=\{(x,y)\in \mathbb{R}^2|1\leq xy\leq 2,\, 1\leq \frac xy\leq 2\}$, coordinate-transfo.

score 35 · Answer 1 · 2023-02-12 18:47:42

35

Views

Calculate $\int \limits_{A}^{ }\frac{y}{x^3}\, dy\, dx$ with $A=\{(x,y)\in \mathbb{R}^2|1\leq xy\leq 2,\, 1\leq \frac xy\leq 2\}$, coordinate-transfo.

Published on 12 Feb 2023 - 18:47

score 168 · Answer 2 · 2026-03-25 15:40:08

168

Views

Trivial tangent bundle not diffeomorphic to 2n-dimensional open set

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score 69 · Answer 3 · 2023-02-25 01:10:20

69

Views

Can someone recommend me a nice and rigorous proof of the change of variables formula?

Published on 25 Feb 2023 - 1:10

score 43 · Answer 4 · 2023-02-26 19:46:27

43

Views

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Published on 26 Feb 2023 - 19:46

score 45 · Answer 5 · 2023-03-06 22:12:34

45

Views

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score 62 · Answer 6 · 2023-03-09 13:24:13

62

Views

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score 231 · Answer 7 · 2026-03-25 18:47:38

231

Views

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score 71 · Answer 8 · 2023-03-22 18:59:30

71

Views

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score 53 · Answer 9 · 2023-03-23 20:44:28

53

Views

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score 110 · Answer 10 · 2023-04-02 16:00:36

110

Views

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score 105 · Answer 11 · 2023-04-04 05:10:15

105

Views

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score 26 · Answer 12 · 2023-04-18 02:22:07

26

Views

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Published on 18 Apr 2023 - 2:22

score 67 · Answer 13 · 2023-04-20 19:52:01

67

Views

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score 30 · Answer 14 · 2023-04-24 20:41:53

30

Views

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Published on 24 Apr 2023 - 20:41

score 30 · Answer 15 · 2026-03-25 05:03:04

30

Views

Diffeomorphisms (fixing $p,q$) preserving the smooth structure on the class of all closed embedded surfaces $S \subset [0,1]^3$

Published on 25 Mar 2026 - 5:03

List Question

Calculate $\int \limits_{A}^{ }\frac{y}{x^3}\, dy\, dx$ with $A=\{(x,y)\in \mathbb{R}^2|1\leq xy\leq 2,\, 1\leq \frac xy\leq 2\}$, coordinate-transfo.

Trivial tangent bundle not diffeomorphic to 2n-dimensional open set

Can someone recommend me a nice and rigorous proof of the change of variables formula?

In which points is this map a local diffeomorphism?

Generalization of elementary matrices to diffeomorphisms

Does there exist an integrable vector field generating a diffeomorphism?

Uniqueness of smooth structures on submanifolds with boundary

Prove that a transformation is a diffeomorphism and a flow. Solution verification

What is meant by the cross section of an orbit?

Can non-homeomorphic topological manifolds be built over the same set?

Flowing a vector field along a diffeomorphism

Can we extend a diffeomoprhis of surface to symplectomorphism?

Local diffeomorphisms and orientability

Do the orbits of the flow of a vector field change when multiplied by a function?

Diffeomorphisms (fixing $p,q$) preserving the smooth structure on the class of all closed embedded surfaces $S \subset [0,1]^3$

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