Question

How to understand that a subset of a manifold is Lebesgue measurable?

score 48 · Answer 1 · 2026-04-14 12:52:01

48

Views

How to understand that a subset of a manifold is Lebesgue measurable?

Published on 14 Apr 2026 - 12:52

score 48 · Answer 2 · 2026-04-13 03:26:06

48

Views

Clarification on Gluing Manifolds and Hausdorff Condition

Published on 13 Apr 2026 - 3:26

score 92 · Answer 3 · 2026-04-14 19:07:50

92

Views

When is an analytic function a first integral of a vector field?

Published on 14 Apr 2026 - 19:07

score 65 · Answer 4 · 2026-04-16 22:51:00

65

Views

$S = \left \{ (x_1,x_2,x_3) \in\mathbb{R}^3 : x_1^2+x_2^2-x_3^2 =\lambda\right \} $. Find the $\lambda$ for which $S$ is a submanifold of $\Bbb{R}^3$

Published on 16 Apr 2026 - 22:51

score 74 · Answer 5 · 2026-04-12 04:03:15

74

Views

Do homeomorphisms of disks in a sphere extend?

Published on 12 Apr 2026 - 4:03

score 53 · Answer 6 · 2026-04-16 08:39:58

53

Views

Prove that $\left\{ (x;y;z)\in\mathbb{R}\times\mathbb{R}^{+*} \times\mathbb{R}:x^2+z^2=1/y\right\}$ is a submanifold and justify his dimension

Published on 16 Apr 2026 - 8:39

score 42 · Answer 7 · 2026-04-15 22:13:27

42

Views

Simple questions on the parametrization of the surface $\left\{(x;y;z)\in\mathbb{R}\times\mathbb{R}^{+*}\times\mathbb{R}:x^2+z^2=1/y\right\}$

Published on 15 Apr 2026 - 22:13

score 37 · Answer 8 · 2026-04-12 14:49:12

37

Views

Spivak's definition of a $k$-dimensional mainfold

Published on 12 Apr 2026 - 14:49

score 92 · Answer 9 · 2026-04-16 20:16:09

92

Views

What is the maximal l for a $C^{l}$-vector field on a $C^{k}$-manifold?

Published on 16 Apr 2026 - 20:16

score 96 · Answer 10 · 2026-04-11 21:05:32

96

Views

How Do I show this Map is a Surjective Submersion?

Published on 11 Apr 2026 - 21:05

score 102 · Answer 11 · 2026-04-14 11:26:37

102

Views

How Can I construct an Embedding for $S^n\times \mathbb{R} \rightarrow \mathbb{R}^{n+1}$

Published on 14 Apr 2026 - 11:26

score 38 · Answer 12 · 2026-04-14 01:04:05

38

Views

Simple examples distinguishing conformal equivalence from projective equivalence?

Published on 14 Apr 2026 - 1:04

score 44 · Answer 13 · 2026-04-10 23:34:24

44

Views

How Can I find the Differential of a Function of Matrices?

Published on 10 Apr 2026 - 23:34

score 70 · Answer 14 · 2026-04-18 02:58:27

70

Views

Is the derivative of a path on a manifold always on the tangent space?

Published on 18 Apr 2026 - 2:58

score 71 · Answer 15 · 2026-04-12 07:30:20

71

Views

How Do I Show this Differential is Surjective?

Published on 12 Apr 2026 - 7:30

List Question

How to understand that a subset of a manifold is Lebesgue measurable?

Clarification on Gluing Manifolds and Hausdorff Condition

When is an analytic function a first integral of a vector field?

$S = \left \{ (x_1,x_2,x_3) \in\mathbb{R}^3 : x_1^2+x_2^2-x_3^2 =\lambda\right \} $. Find the $\lambda$ for which $S$ is a submanifold of $\Bbb{R}^3$

Do homeomorphisms of disks in a sphere extend?

Prove that $\left\{ (x;y;z)\in\mathbb{R}\times\mathbb{R}^{+*} \times\mathbb{R}:x^2+z^2=1/y\right\}$ is a submanifold and justify his dimension

Simple questions on the parametrization of the surface $\left\{(x;y;z)\in\mathbb{R}\times\mathbb{R}^{+*}\times\mathbb{R}:x^2+z^2=1/y\right\}$

Spivak's definition of a $k$-dimensional mainfold

What is the maximal l for a $C^{l}$-vector field on a $C^{k}$-manifold?

How Do I show this Map is a Surjective Submersion?

How Can I construct an Embedding for $S^n\times \mathbb{R} \rightarrow \mathbb{R}^{n+1}$

Simple examples distinguishing conformal equivalence from projective equivalence?

How Can I find the Differential of a Function of Matrices?

Is the derivative of a path on a manifold always on the tangent space?

How Do I Show this Differential is Surjective?

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