List questions from differential-geometry

Published on 09 Apr 2026 - 22:12

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Jacobi Identity of Commutator of Vector Fields

Published on 15 Apr 2026 - 13:52

548

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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 15 Apr 2026 - 22:15

87

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Notation: gradient as vector field

Published on 16 Apr 2026 - 5:10

77

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How to find the surface integral of Torus intersecting with cylinder ??

Published on 11 Apr 2026 - 7:04

114

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Exercise: Compute a distribution given the integral manifold

Published on 13 Apr 2026 - 9:02

646

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Differential Geometry - Local Isometries

Published on 11 Apr 2026 - 22:13

68

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Increasing union of regular submanifold

Published on 11 Apr 2026 - 3:53

161

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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 16 Apr 2026 - 8:22

80

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Arc-length parametrisation

Published on 13 Apr 2026 - 13:14

45

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Integrable system is not a level set: an example

Published on 24 Mar 2026 - 23:41

1.1k

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Smooth vector fields form a $C^\infty (M)$-module

Published on 16 Apr 2026 - 21:16

212

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Definition of smooth functions on arbitrary subsets of $\mathbb{R}^n$ and partial derivatives

Published on 11 Apr 2026 - 12:26

550

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How to conclude from a homogeneous function $f$ of degree $1$ differentiable at $0$ that all norms are never differentiable at $0$?

Published on 12 Apr 2026 - 19:56

887

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An identity about Killing vector field

Published on 12 Apr 2026 - 13:18

List Question

Is punctured disc a Lipschitz domain?

Jacobi Identity of Commutator of Vector Fields

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

Notation: gradient as vector field

How to find the surface integral of Torus intersecting with cylinder ??

Exercise: Compute a distribution given the integral manifold

Differential Geometry - Local Isometries

Increasing union of regular submanifold

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

Arc-length parametrisation

Integrable system is not a level set: an example

Smooth vector fields form a $C^\infty (M)$-module

Definition of smooth functions on arbitrary subsets of $\mathbb{R}^n$ and partial derivatives

How to conclude from a homogeneous function $f$ of degree $1$ differentiable at $0$ that all norms are never differentiable at $0$?

An identity about Killing vector field

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