List questions from compact-manifolds

Published on 25 Mar 2026 - 17:39

255

Views

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

Published on 16 Apr 2026 - 15:17

324

Views

Existence of canonical retraction around a compact manifold

Published on 15 Apr 2026 - 23:13

108

Views

DeRahm relative cohomology and number of critical points

Published on 10 Apr 2026 - 21:00

81

Views

lectures on lie groups

Published on 12 Apr 2026 - 9:19

601

Views

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

Published on 17 Apr 2026 - 7:07

349

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 13 Apr 2026 - 22:13

178

Views

Characterizing compact hypersurface

Published on 11 Apr 2026 - 7:44

844

Views

Smooth function between compact manifold and connected manifold

Published on 12 Apr 2026 - 2:13

1k

Views

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

Published on 16 Apr 2026 - 13:51

846

Views

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

Published on 10 Apr 2026 - 12:23

96

Views

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

Published on 10 May 2026 - 17:16

223

Views

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

Published on 13 Apr 2026 - 6:25

40

Views

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

Published on 10 May 2026 - 18:23

74

Views

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

Published on 25 Mar 2026 - 17:40

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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