Question

How to prove $O(n,C) $ is not compact

score 529 · Answer 1 · 2026-04-11 04:07:29

529

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How to prove $O(n,C) $ is not compact

Published on 11 Apr 2026 - 4:07

score 365 · Answer 2 · 2026-04-13 10:26:53

365

Views

Example of smooth function of a smooth submanifold cannot be obtained by restriction of a smooth function in the manifold

Published on 13 Apr 2026 - 10:26

score 122 · Answer 3 · 2026-04-27 12:39:44

122

Views

Existence of a free "sub-isometric" embedding of a Riemannian manifold

Published on 27 Apr 2026 - 12:39

score 482 · Answer 4 · 2026-04-26 01:48:11

482

Views

Manifold structure of $\mathrm{PSL}(2,\mathbb{R})$

Published on 26 Apr 2026 - 1:48

score 78 · Answer 5 · 2026-04-16 01:02:18

78

Views

Difficulty comprehending this sentence on Wikipedia

Published on 16 Apr 2026 - 1:02

score 230 · Answer 6 · 2026-04-14 23:26:17

230

Views

Is it true that a geodesic on a hyperbolic surface can be lifted to a geodesic on the hyperbolic plane?

Published on 14 Apr 2026 - 23:26

score 24 · Answer 7 · 2026-04-14 02:12:07

24

Views

A question about $[X,Y]$, where $X,Y$ are vector fields

Published on 14 Apr 2026 - 2:12

score 90 · Answer 8 · 2026-04-16 12:52:53

90

Views

smooth Banach manifold structure on C^1(M,N), smoothnes of transtion maps.

Published on 16 Apr 2026 - 12:52

score 55 · Answer 9 · 2026-04-14 13:02:21

55

Views

Existence of a smooth map to its embedded submanifold

Published on 14 Apr 2026 - 13:02

score 46 · Answer 10 · 2026-04-10 11:26:30

46

Views

Integrating a $2$ form on $\mathbb C \mathbb P^1$

Published on 10 Apr 2026 - 11:26

score 20 · Answer 11 · 2026-04-14 18:39:02

20

Views

How to show for every $p\in M$ there is a local chart $(U, x_1, \ldots, x_n)$ around $p$ with desired properties?

Published on 14 Apr 2026 - 18:39

score 201 · Answer 12 · 2026-04-14 12:38:19

201

Views

Definition of a vector field on a differentiable manifold.

Published on 14 Apr 2026 - 12:38

score 1.2k · Answer 13 · 2026-04-20 11:40:33

1.2k

Views

Find the interior product of a basic p-form $\alpha = dx_1 \wedge dx_2 \wedge \ldots \wedge dx_p$ and a vector field $X$

Published on 20 Apr 2026 - 11:40

score 3.2k · Answer 14 · 2026-04-17 03:16:12

3.2k

Views

Every Manifold is Locally Path Connected

Published on 17 Apr 2026 - 3:16

score 62 · Answer 15 · 2026-04-10 07:17:57

62

Views

Connect Sum of a connected, compact manifold of dimension n and $S^n$

Published on 10 Apr 2026 - 7:17

List Question

How to prove $O(n,C) $ is not compact

Example of smooth function of a smooth submanifold cannot be obtained by restriction of a smooth function in the manifold

Existence of a free "sub-isometric" embedding of a Riemannian manifold

Manifold structure of $\mathrm{PSL}(2,\mathbb{R})$

Difficulty comprehending this sentence on Wikipedia

Is it true that a geodesic on a hyperbolic surface can be lifted to a geodesic on the hyperbolic plane?

A question about $[X,Y]$, where $X,Y$ are vector fields

smooth Banach manifold structure on C^1(M,N), smoothnes of transtion maps.

Existence of a smooth map to its embedded submanifold

Integrating a $2$ form on $\mathbb C \mathbb P^1$

How to show for every $p\in M$ there is a local chart $(U, x_1, \ldots, x_n)$ around $p$ with desired properties?

Definition of a vector field on a differentiable manifold.

Find the interior product of a basic p-form $\alpha = dx_1 \wedge dx_2 \wedge \ldots \wedge dx_p$ and a vector field $X$

Every Manifold is Locally Path Connected

Connect Sum of a connected, compact manifold of dimension n and $S^n$

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