List questions from manifolds

Published on 27 Mar 2026 - 16:26

39

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For $n\geq 3$, if we remove $X=\{x_1,...,x_n\}$ points of $S^{n-1}$, is the set $S^{n-1}-X$ connected?

Published on 16 May 2020 - 2:49

296

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How to show it is a manifold.

Published on 16 May 2020 - 6:48

387

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Why restrict to complex Lie algebras?

Published on 25 Mar 2026 - 7:40

223

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collection of $m-$frame is a Manifold (Stiefel manifold)

Published on 07 Apr 2026 - 0:52

33

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First Fundamental Forms - alternative definition

Published on 30 Mar 2026 - 11:42

320

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Guillemin and Pollack Exercise 4.4.5

Published on 05 Apr 2026 - 20:40

36

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What is meant by "Find an explicit trivialization of $\mathbb{S}^{3}$?

Published on 17 May 2020 - 2:15

203

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Manifold that's not $\aleph_1$-separable

Published on 30 Mar 2026 - 13:36

471

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Equivalent definitions of the Möbius band

Published on 30 Mar 2026 - 17:00

172

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Find the rate at which distances decrease in stereographic projection

Published on 25 Mar 2026 - 2:56

318

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Second derivative test (and sign of laplacian at critical points) for manifolds

Published on 04 Apr 2026 - 9:09

129

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On the geometric realization of a finite abstract simplicial complex which is connected, orientable $3$-manifold without boundary

Published on 02 Apr 2026 - 9:39

141

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Argument in a proof for scalar maximum principle

Published on 04 Apr 2026 - 9:07

42

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Levi-Civita connection from idempotents

Published on 04 Apr 2026 - 9:04

List Question

Smooth function that interpolates between constant functions

For $n\geq 3$, if we remove $X=\{x_1,...,x_n\}$ points of $S^{n-1}$, is the set $S^{n-1}-X$ connected?

How to show it is a manifold.

Why restrict to complex Lie algebras?

collection of $m-$frame is a Manifold (Stiefel manifold)

First Fundamental Forms - alternative definition

Guillemin and Pollack Exercise 4.4.5

What is meant by "Find an explicit trivialization of $\mathbb{S}^{3}$?

Manifold that's not $\aleph_1$-separable

Equivalent definitions of the Möbius band

Find the rate at which distances decrease in stereographic projection

Second derivative test (and sign of laplacian at critical points) for manifolds

On the geometric realization of a finite abstract simplicial complex which is connected, orientable $3$-manifold without boundary

Argument in a proof for scalar maximum principle

Levi-Civita connection from idempotents

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