List questions from differential-topology

Published on 11 Apr 2026 - 6:30

142

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Foundation of mechanics 2nd edition and vector bundle definitions

Published on 12 Apr 2026 - 9:18

58

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A recreational question: Exploring some assumptions. Have I made an accurate conclusion?

Published on 11 Apr 2026 - 20:20

28

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If $v_n : \mathbb{T}^3 \to \mathbb{R}^3$ is a sequence of uniformly convergent divergence-free vector fields, does its "antiderivative" converge?

Published on 26 Mar 2026 - 14:34

115

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if there exists a smooth map $M\rightarrow N$ and a smooth map $N\rightarrow M$ then $M,N$ are diffeomorphic

Published on 01 Aug 2023 - 3:07

130

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The Transversality Condition is Generic

Published on 25 Mar 2026 - 12:52

95

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Is local vector bundle chart a homeomorphism, diffeomorphism, or bijection?

Published on 01 Apr 2026 - 0:22

85

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Riemannian Metric from Hamiltonian?

Published on 09 Apr 2026 - 14:45

53

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Holonomy representation of complete connected hyperbolic surfaces up to conjugation

Published on 29 Mar 2026 - 17:43

80

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Foliation of $S^3$ with Leaves $S^1$

Published on 25 Mar 2026 - 6:29

73

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Effects of perturbation on level set.

Published on 11 Apr 2026 - 11:52

45

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How to use Ricci identity to prove exchange of laplacian beltrami operator and derivative with Levi-Civita tensor involved in 2D

Published on 12 Apr 2026 - 7:46

62

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Isotopic diffeomorphisms of surface are diffeotopic?

Published on 25 Mar 2026 - 12:15

37

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Is $\partial U$ being $C^k$ the same as $\partial U$ having a $C^k$ parameterization?

Published on 11 Aug 2023 - 14:47

40

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the neighboorhood of a node of an abelian form(Plumbing a cylinder )

Published on 11 Apr 2026 - 8:57

List Question

Is the space of orthogonal vectors a manifold?

Foundation of mechanics 2nd edition and vector bundle definitions

A recreational question: Exploring some assumptions. Have I made an accurate conclusion?

If $v_n : \mathbb{T}^3 \to \mathbb{R}^3$ is a sequence of uniformly convergent divergence-free vector fields, does its "antiderivative" converge?

if there exists a smooth map $M\rightarrow N$ and a smooth map $N\rightarrow M$ then $M,N$ are diffeomorphic

The Transversality Condition is Generic

Is local vector bundle chart a homeomorphism, diffeomorphism, or bijection?

Riemannian Metric from Hamiltonian?

Holonomy representation of complete connected hyperbolic surfaces up to conjugation

Foliation of $S^3$ with Leaves $S^1$

Effects of perturbation on level set.

How to use Ricci identity to prove exchange of laplacian beltrami operator and derivative with Levi-Civita tensor involved in 2D

Isotopic diffeomorphisms of surface are diffeotopic?

Is $\partial U$ being $C^k$ the same as $\partial U$ having a $C^k$ parameterization?

the neighboorhood of a node of an abelian form(Plumbing a cylinder )

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