Question

Manifold has uncountable many smooth stuctures if it has one

score 4.5k · Answer 1 · 2026-04-03 06:53:07

4.5k

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Manifold has uncountable many smooth stuctures if it has one

Published on 03 Apr 2026 - 6:53

score 94 · Answer 2 · 2026-04-02 05:05:30

94

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Is $\mathbb{R}P^n$ "two-sided" in $\mathbb{R}P^{n+1}$

Published on 02 Apr 2026 - 5:05

score 326 · Answer 3 · 2026-04-02 04:30:39

326

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Quotient of Unit Quaternions by Subgoup (Lie Groups)

Published on 02 Apr 2026 - 4:30

score 695 · Answer 4 · 2026-03-25 17:25:58

695

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When do isometries commute with the compatible derivative operator on a semi-Riemannian manifold?

Published on 25 Mar 2026 - 17:25

score 263 · Answer 5 · 2014-08-01 08:00:42

263

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Equivalent Characterizations of Smoothness

Published on 01 Aug 2014 - 8:00

score 1.6k · Answer 6 · 2026-04-02 05:01:11

1.6k

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Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)

Published on 02 Apr 2026 - 5:01

score 210 · Answer 7 · 2026-04-03 10:21:20

210

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Problem in the proof that $S^n$ is a $n$-dimensional smooth submanifold of $\mathbb R^{n+1}$.

Published on 03 Apr 2026 - 10:21

score 1.4k · Answer 8 · 2026-03-26 22:14:06

1.4k

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Constructing lagrangian submanifold of a symplectic manifold

Published on 26 Mar 2026 - 22:14

score 476 · Answer 9 · 2026-04-02 06:46:44

476

Views

Is $y^2=x(x-1)^2$ an immersed submanifold?

Published on 02 Apr 2026 - 6:46

score 1.4k · Answer 10 · 2026-04-02 06:43:34

1.4k

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If $b$ is a regular value of $f$, $f^{-1}(-\infty,b]$ is a regular domain?

Published on 02 Apr 2026 - 6:43

score 405 · Answer 11 · 2026-04-03 10:18:49

405

Views

Explanation of non-orientability of the Möbius band

Published on 03 Apr 2026 - 10:18

score 416 · Answer 12 · 2026-04-02 16:54:47

416

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Intuition for the compactness of real projective space $\mathbb{R}\mathbb{P}^n$.

Published on 02 Apr 2026 - 16:54

score 445 · Answer 13 · 2026-04-03 11:59:52

445

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Why isn't every manifold parallelizable, given that $TM = \bigsqcup_{p \in M}T_pM$?

Published on 03 Apr 2026 - 11:59

score 718 · Answer 14 · 2026-04-02 08:22:13

718

Views

Does Heine-Borel hold for smooth manifolds?

Published on 02 Apr 2026 - 8:22

score 462 · Answer 15 · 2026-04-02 08:18:56

462

Views

If $S\subseteq M\times N$ is embedded, and $S$ and $\{p\}\times N$ intersect transversely in one point, then $\pi_M|_S$ is a diffeomorphism?

Published on 02 Apr 2026 - 8:18

List Question

Manifold has uncountable many smooth stuctures if it has one

Is $\mathbb{R}P^n$ "two-sided" in $\mathbb{R}P^{n+1}$

Quotient of Unit Quaternions by Subgoup (Lie Groups)

When do isometries commute with the compatible derivative operator on a semi-Riemannian manifold?

Equivalent Characterizations of Smoothness

Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)

Problem in the proof that $S^n$ is a $n$-dimensional smooth submanifold of $\mathbb R^{n+1}$.

Constructing lagrangian submanifold of a symplectic manifold

Is $y^2=x(x-1)^2$ an immersed submanifold?

If $b$ is a regular value of $f$, $f^{-1}(-\infty,b]$ is a regular domain?

Explanation of non-orientability of the Möbius band

Intuition for the compactness of real projective space $\mathbb{R}\mathbb{P}^n$.

Why isn't every manifold parallelizable, given that $TM = \bigsqcup_{p \in M}T_pM$?

Does Heine-Borel hold for smooth manifolds?

If $S\subseteq M\times N$ is embedded, and $S$ and $\{p\}\times N$ intersect transversely in one point, then $\pi_M|_S$ is a diffeomorphism?

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