Question

Definition of Lie algebra for self-defined group of matrices

score 96 · Answer 1 · 2026-04-10 13:54:29

96

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Definition of Lie algebra for self-defined group of matrices

Published on 10 Apr 2026 - 13:54

score 97 · Answer 2 · 2026-04-11 04:30:40

97

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Are there any manifolds that are $C^{r-1}$-diffeomorphic but not $C^r$-diffeomorphic?

Published on 11 Apr 2026 - 4:30

score 928 · Answer 3 · 2017-03-06 17:38:13

928

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if the atlas of a topological manifold contain only one chart

Published on 06 Mar 2017 - 17:38

score 63 · Answer 4 · 2017-03-06 22:26:08

63

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Complete lattice $\Lambda \subset \mathbb{R}^n$ gives manifold $\mathbb{R}^n/\Lambda$

Published on 06 Mar 2017 - 22:26

score 218 · Answer 5 · 2026-04-09 22:58:33

218

Views

How to represent this parametrically?

Published on 09 Apr 2026 - 22:58

score 269 · Answer 6 · 2026-04-11 05:16:15

269

Views

Real semisimple Lie group with infinitely many connected components?

Published on 11 Apr 2026 - 5:16

score 175 · Answer 7 · 2026-03-25 07:45:43

175

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On Kervaire and Milnor's paper, "Groups of homotopy spheres: 1" (surgery on 3-manifolds)

Published on 25 Mar 2026 - 7:45

score 582 · Answer 8 · 2026-04-11 12:34:35

582

Views

Flag manifold is manifold

Published on 11 Apr 2026 - 12:34

score 231 · Answer 9 · 2026-04-11 17:53:30

231

Views

Is this alternative definition of manifolds correct?

Published on 11 Apr 2026 - 17:53

score 529 · Answer 10 · 2026-04-08 16:10:54

529

Views

Manifold structure of 2-sphere: Use of inversions as transition functions

Published on 08 Apr 2026 - 16:10

score 318 · Answer 11 · 2017-03-08 20:07:44

318

Views

Differential of smooth submersion between manifold of same dimension is a local diffeomorphism

Published on 08 Mar 2017 - 20:07

score 1.5k · Answer 12 · 2026-04-10 22:39:51

1.5k

Views

How do I prove that the boundary of the unit square is not a $\mathscr{C}^1$ manifold?

Published on 10 Apr 2026 - 22:39

score 51 · Answer 13 · 2017-03-08 23:48:07

51

Views

A criterion for a subset $M\subseteq\mathbb{R}^k$ to be a $C^r$-manifold

Published on 08 Mar 2017 - 23:48

score 137 · Answer 14 · 2017-03-09 01:32:27

137

Views

Find critical points, regular value, regular points

Published on 09 Mar 2017 - 1:32

score 513 · Answer 15 · 2017-03-09 12:29:36

513

Views

$M=\{x: f(x)=0\}$ is orientable -- non-vanishing form

Published on 09 Mar 2017 - 12:29

List Question

Definition of Lie algebra for self-defined group of matrices

Are there any manifolds that are $C^{r-1}$-diffeomorphic but not $C^r$-diffeomorphic?

if the atlas of a topological manifold contain only one chart

Complete lattice $\Lambda \subset \mathbb{R}^n$ gives manifold $\mathbb{R}^n/\Lambda$

How to represent this parametrically?

Real semisimple Lie group with infinitely many connected components?

On Kervaire and Milnor's paper, "Groups of homotopy spheres: 1" (surgery on 3-manifolds)

Flag manifold is manifold

Is this alternative definition of manifolds correct?

Manifold structure of 2-sphere: Use of inversions as transition functions

Differential of smooth submersion between manifold of same dimension is a local diffeomorphism

How do I prove that the boundary of the unit square is not a $\mathscr{C}^1$ manifold?

A criterion for a subset $M\subseteq\mathbb{R}^k$ to be a $C^r$-manifold

Find critical points, regular value, regular points

$M=\{x: f(x)=0\}$ is orientable -- non-vanishing form

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