List questions from differential-topology

Published on 14 Apr 2026 - 19:53

2.8k

Views

Tangent bundle of sphere as a complex manifold

Published on 11 Apr 2026 - 5:39

145

Views

Bott&Tu Definition: "Types of Forms:

Published on 11 Apr 2026 - 15:42

4.2k

Views

A Riemannian metric on the torus $T^n$

Published on 15 Apr 2026 - 22:23

881

Views

Pushforward of a vector

Published on 13 Apr 2026 - 15:08

540

Views

Klein bottle in $\mathbb{R}^4$ does not have a couple of normal vector fields

Published on 03 Apr 2026 - 10:02

1.4k

Views

Index of a Jordan curve

Published on 27 Apr 2026 - 7:09

373

Views

Such a manifold is homeomorphic to a sphere

Published on 26 Mar 2026 - 10:59

60

Views

Number of non-homotopic diffemorphism form a manifold to itself

Published on 16 Apr 2026 - 15:40

126

Views

Given $p \in S^{n-1}$, how does one show that the map $\pi: SO_n \to S^{n-1}$ by $A \to A(p)$ is a submersion?

Published on 16 Apr 2026 - 13:29

163

Views

What are the essential tools and proof techniques for beginning smooth manifolds and differential topology?

Published on 10 Apr 2026 - 15:46

463

Views

Euler characteristic of branch cover of punctured Riemann surface

Published on 12 Apr 2026 - 17:35

105

Views

Show that piecewise function $f$ is $C^{\infty}$

Published on 12 Apr 2026 - 9:00

388

Views

Why is $x^{1/3}$ not differentiable?

Published on 16 Apr 2026 - 13:36

148

Views

If $f: A \subset \mathbb{R}^m \to \mathbb{R}^n$ is of class $C^1$ and in $a \in A$ rank of $f$ is $p$ there is an embedding

Published on 16 Apr 2026 - 9:51

List Question

Does every $C^1$ closed differential form differ from some $C^\infty$ closed form by an exact form?

Tangent bundle of sphere as a complex manifold

Bott&Tu Definition: "Types of Forms:

A Riemannian metric on the torus $T^n$

Pushforward of a vector

Klein bottle in $\mathbb{R}^4$ does not have a couple of normal vector fields

Index of a Jordan curve

Such a manifold is homeomorphic to a sphere

Number of non-homotopic diffemorphism form a manifold to itself

Given $p \in S^{n-1}$, how does one show that the map $\pi: SO_n \to S^{n-1}$ by $A \to A(p)$ is a submersion?

What are the essential tools and proof techniques for beginning smooth manifolds and differential topology?

Euler characteristic of branch cover of punctured Riemann surface

Show that piecewise function $f$ is $C^{\infty}$

Why is $x^{1/3}$ not differentiable?

If $f: A \subset \mathbb{R}^m \to \mathbb{R}^n$ is of class $C^1$ and in $a \in A$ rank of $f$ is $p$ there is an embedding

Trending Questions

Popular # Hahtags

Popular Questions