List questions from differential-topology

Published on 26 Mar 2026 - 11:07

63

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What claims and what Theorem we can prove using density property in Topology and functional analysis?

Published on 27 Mar 2026 - 19:53

101

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How to transfer the integration theory of smooth manifold to that of $C^k$ manifold

Published on 03 Jan 2019 - 5:16

324

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The Image of sphere under the map $f: (x,y,z) \to (x^2,y^2,z^2,\sqrt{2}yz, \sqrt{2}zx, \sqrt{2}xy)$ and $\mathbb{R}P^2$

Published on 03 Jan 2019 - 22:53

980

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Identity Involving Lie Derivative and Local Flows

Published on 26 Mar 2026 - 4:31

339

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Boundary of complex bounded domain

Published on 26 Mar 2026 - 16:10

40

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What surface is created by a continuous rotation in n-dimension?

Published on 05 Jan 2019 - 19:16

493

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deformation of Hodge star operator and harmonic forms

Published on 25 Mar 2026 - 23:36

125

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Are the singular points of harmonic function on the disk always of measure zero?

Published on 25 Mar 2026 - 9:49

546

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Every differential form $\omega$ of degree 1 in the sphere $S^m\subset\mathbb{R}^{m+1}$ that is closed is also exact.

Published on 27 Mar 2026 - 20:21

112

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Exercise: Compute a distribution given the integral manifold

Published on 26 Mar 2026 - 13:01

158

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If an immersion $X$ maps circles into planes then its image $X(\mathbb{D})$ is homeomorphic to the cylinder.

Published on 07 Jan 2019 - 23:32

307

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Characterization of $\mathbb{R}^n$?

Published on 26 Mar 2026 - 17:52

45

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Integrable system is not a level set: an example

Published on 24 Mar 2026 - 23:41

101

Views

Gluing (Principal) Bundles?

Published on 09 Jan 2019 - 20:47

List Question

Orientation on normal bundle

What claims and what Theorem we can prove using density property in Topology and functional analysis?

How to transfer the integration theory of smooth manifold to that of $C^k$ manifold

The Image of sphere under the map $f: (x,y,z) \to (x^2,y^2,z^2,\sqrt{2}yz, \sqrt{2}zx, \sqrt{2}xy)$ and $\mathbb{R}P^2$

Identity Involving Lie Derivative and Local Flows

Boundary of complex bounded domain

What surface is created by a continuous rotation in n-dimension?

deformation of Hodge star operator and harmonic forms

Are the singular points of harmonic function on the disk always of measure zero?

Every differential form $\omega$ of degree 1 in the sphere $S^m\subset\mathbb{R}^{m+1}$ that is closed is also exact.

Exercise: Compute a distribution given the integral manifold

If an immersion $X$ maps circles into planes then its image $X(\mathbb{D})$ is homeomorphic to the cylinder.

Characterization of $\mathbb{R}^n$?

Integrable system is not a level set: an example

Gluing (Principal) Bundles?

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