List questions from compact-manifolds

Published on 19 Nov 2016 - 8:34

252

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Proving that $SU(2)$ is a differential submanifold of $\mathbb{C}^{4}$

Published on 14 Dec 2016 - 16:56

321

Views

Existence of canonical retraction around a compact manifold

Published on 27 Dec 2016 - 17:08

105

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DeRahm relative cohomology and number of critical points

Published on 31 Dec 2016 - 3:01

78

Views

lectures on lie groups

Published on 06 Jan 2017 - 10:25

598

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Volumes of balls in Riemannian manifolds are bounded below by a function of the radius

Published on 20 Jan 2017 - 14:55

346

Views

Any compact surface is either homeomorphic to a sphere or to a connected sum of tori, or to a connected sum of projective planes proof question

Published on 26 Jan 2017 - 18:15

175

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Characterizing compact hypersurface

Published on 27 Jan 2017 - 22:58

841

Views

Smooth function between compact manifold and connected manifold

Published on 30 Jan 2017 - 1:27

1k

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Every smooth map from $M$ to $\mathbb{R}^N$ can be approximated by smooth immersions

Published on 03 Mar 2017 - 19:49

844

Views

Is the zero set of a holomorphic function a complex manifold?

Published on 14 Mar 2017 - 15:46

92

Views

Spectral triple on $\mathcal C(M)$ where $M$ is a compact Riemannian manifold, not necessarily spin

Published on 26 Feb 2023 - 22:47

220

Views

Prove that every compact manifold is homeomorphic to a subset of some Euclidean space.

Published on 21 Jun 2023 - 18:10

39

Views

Proof Concerning homeomorphisms of $\mathbb{P}^2$

Published on 25 Mar 2026 - 11:10

73

Views

Lie subgroup of non-abelian compact Lie group is compact?

Published on 15 Jul 2023 - 0:21

List Question

Is there any necessarily NON-simply-connected bordism between compact 1-manifolds?

Proving that $SU(2)$ is a differential submanifold of $\mathbb{C}^{4}$

Existence of canonical retraction around a compact manifold

DeRahm relative cohomology and number of critical points

lectures on lie groups

Volumes of balls in Riemannian manifolds are bounded below by a function of the radius

Any compact surface is either homeomorphic to a sphere or to a connected sum of tori, or to a connected sum of projective planes proof question

Characterizing compact hypersurface

Smooth function between compact manifold and connected manifold

Every smooth map from $M$ to $\mathbb{R}^N$ can be approximated by smooth immersions

Is the zero set of a holomorphic function a complex manifold?

Spectral triple on $\mathcal C(M)$ where $M$ is a compact Riemannian manifold, not necessarily spin

Prove that every compact manifold is homeomorphic to a subset of some Euclidean space.

Proof Concerning homeomorphisms of $\mathbb{P}^2$

Lie subgroup of non-abelian compact Lie group is compact?

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