List questions from compact-manifolds

Published on 25 Mar 2026 - 14:34

38

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Handles have the form $D^λ×D^{m−λ}$

Published on 04 Sep 2023 - 19:28

55

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$Ric$ flat metric on $S^n$.

Published on 27 Oct 2023 - 5:20

214

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Does every finitely presented group have a finite index subgroup with free abelianisation?

Published on 28 Nov 2023 - 0:22

31

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A regular, connected, compact surface with curvature on $[0,1]$

Published on 29 Nov 2023 - 17:49

61

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Is it really true that $\mathcal{S}(\mathbb{R}^n)$ is identified with smooth functions on $S^n$ vanishing at a fixed point?

Published on 04 Mar 2024 - 7:42

312

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Topology of Manifolds and Kunneth fomula by Griffiths Harris

Published on 06 Feb 2015 - 17:33

355

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Can a product of a Stein manifold and a compact manifold be again Stein?

Published on 16 Feb 2015 - 20:10

595

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When are flag manifolds compact?

Published on 23 Feb 2015 - 13:13

4.9k

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Why spheres are not symplectic manifolds?

Published on 20 Apr 2015 - 14:40

790

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How to Show Cotangent Bundles Are Not Compact Manifolds?

Published on 25 Apr 2015 - 22:32

2.7k

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Integrals of Pullbacks

Published on 14 Jun 2015 - 17:18

97

Views

Map of smooth manifolds

Published on 30 Jun 2015 - 20:40

1.3k

Views

Is the orbit map for a group action closed in this case?

Published on 02 Jul 2015 - 4:10

100

Views

Reference needed for a short time existence result of quasilinear PDE on a compact manifold (relating to Ricci flow).

Published on 25 Mar 2026 - 11:16

List Question

U(n) is compact and algebraic, but not abelian—why not a contradiction?

Handles have the form $D^λ×D^{m−λ}$

$Ric$ flat metric on $S^n$.

Does every finitely presented group have a finite index subgroup with free abelianisation?

A regular, connected, compact surface with curvature on $[0,1]$

Is it really true that $\mathcal{S}(\mathbb{R}^n)$ is identified with smooth functions on $S^n$ vanishing at a fixed point?

Topology of Manifolds and Kunneth fomula by Griffiths Harris

Can a product of a Stein manifold and a compact manifold be again Stein?

When are flag manifolds compact?

Why spheres are not symplectic manifolds?

How to Show Cotangent Bundles Are Not Compact Manifolds?

Integrals of Pullbacks

Map of smooth manifolds

Is the orbit map for a group action closed in this case?

Reference needed for a short time existence result of quasilinear PDE on a compact manifold (relating to Ricci flow).

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