List questions from differential-topology

Published on 15 Apr 2026 - 7:49

276

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prove that the shapes are isometric

Published on 16 Apr 2026 - 2:47

3.7k

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A non orientable closed surface cannot be embedded into $\mathbb{R}^3$

Published on 09 Apr 2026 - 12:52

366

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Euler characteristic of part of the sphere

Published on 14 Apr 2026 - 16:46

32.4k

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What's the difference between isomorphism and homeomorphism?

Published on 10 Apr 2026 - 8:24

306

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The question related to a regular surface.

Published on 13 Apr 2026 - 23:12

1.2k

Views

First fundamental form question.

Published on 12 Apr 2026 - 13:33

1.1k

Views

A surface patch $\tilde{\sigma}(\tilde u,\tilde v)$ is a reparametrization of a surface patch $\sigma (u,v)$

Published on 16 Apr 2026 - 17:59

225

Views

First fundamental form of a surface patch $\sigma$

Published on 13 Apr 2026 - 13:32

1.4k

Views

Is the map from the circular half cone to the $xy$ plane a local isometry?

Published on 14 Apr 2026 - 16:21

215

Views

Topological spaces with prescribed fundamental groups

Published on 10 Apr 2026 - 11:26

1.9k

Views

Non-vanishing vector fields on non-compact manifolds

Published on 13 Apr 2026 - 21:06

1k

Views

Torus in differential geometry.

Published on 12 Apr 2026 - 20:57

127

Views

Every chart is smoothly compatible, what is wrong with my argument?

Published on 16 Apr 2026 - 10:31

633

Views

Frame bundle of orthonormal frames orthogonal to a submanifold.

Published on 16 Apr 2026 - 4:50

List Question

prove that $f$ is a diffeomorphism and an isometry

prove that the shapes are isometric

A non orientable closed surface cannot be embedded into $\mathbb{R}^3$

Euler characteristic of part of the sphere

What's the difference between isomorphism and homeomorphism?

The question related to a regular surface.

First fundamental form question.

A surface patch $\tilde{\sigma}(\tilde u,\tilde v)$ is a reparametrization of a surface patch $\sigma (u,v)$

First fundamental form of a surface patch $\sigma$

Is the map from the circular half cone to the $xy$ plane a local isometry?

Topological spaces with prescribed fundamental groups

Non-vanishing vector fields on non-compact manifolds

Torus in differential geometry.

Every chart is smoothly compatible, what is wrong with my argument?

Frame bundle of orthonormal frames orthogonal to a submanifold.

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