List questions from differential-topology

Published on 19 Nov 2018 - 21:06

70

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How to show $\operatorname{Int}(z)$ is not empty?

Published on 25 Mar 2026 - 3:20

945

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Non-vanishing vector field on a manifold..

Published on 20 Nov 2018 - 14:05

111

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The tangent bundle of a fibre bundle associated to a principal $G$-bundle.

Published on 26 Mar 2026 - 9:42

524

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If V and W are linear subspaces of $R^n$, then V transversal W means just $V + W = R^n$

Published on 25 Mar 2026 - 6:13

275

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Does every 2-torus embedded in $\mathbb{R}^4$ bound a compact $3$-manifold?

Published on 21 Nov 2018 - 18:44

898

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Cross is not locally Euclidean in Tu Manifolds

Published on 22 Nov 2018 - 3:24

106

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Distinguish the homeomorphism from the imbedding in the definition of locally Euclidean in Tu Manifolds

Published on 22 Nov 2018 - 4:25

2k

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Show that the Mobius bundle is a smooth real line bundle and it is non-trivial.

Published on 26 Mar 2026 - 9:42

68

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Set of functions defined up to a sign

Published on 25 Mar 2026 - 14:33

87

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How can we construct a smooth structure of Möbius ring?

Published on 23 Nov 2018 - 11:24

272

Views

Representing a Multiple of the Fundamental Class of a Surface

Published on 26 Mar 2026 - 21:26

95

Views

Interesting theorem in differential geometry

Published on 25 Mar 2026 - 4:35

224

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Proof of Courant-Fischer minimax theorem through deformation lemma

Published on 26 Mar 2026 - 21:27

78

Views

If two Riemannian manifolds are isometric as metric spaces, must they be isometric as Riemannian manifolds?

Published on 27 Mar 2026 - 23:14

List Question

Doubt on proof: Orientation preserving diffeomorphism is isotopic to identity

How to show $\operatorname{Int}(z)$ is not empty?

Non-vanishing vector field on a manifold..

The tangent bundle of a fibre bundle associated to a principal $G$-bundle.

If V and W are linear subspaces of $R^n$, then V transversal W means just $V + W = R^n$

Does every 2-torus embedded in $\mathbb{R}^4$ bound a compact $3$-manifold?

Cross is not locally Euclidean in Tu Manifolds

Distinguish the homeomorphism from the imbedding in the definition of locally Euclidean in Tu Manifolds

Show that the Mobius bundle is a smooth real line bundle and it is non-trivial.

Set of functions defined up to a sign

How can we construct a smooth structure of Möbius ring?

Representing a Multiple of the Fundamental Class of a Surface

Interesting theorem in differential geometry

Proof of Courant-Fischer minimax theorem through deformation lemma

If two Riemannian manifolds are isometric as metric spaces, must they be isometric as Riemannian manifolds?

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