List questions from differential-topology

Published on 07 Jan 2017 - 4:00

594

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Euler characteristic = 1 iff manifod simply connected?

Published on 29 Mar 2026 - 19:10

328

Views

$k$-jet transitivity of diffeomorphism group

Published on 23 Feb 2026 - 4:39

397

Views

Normally Hyperbolic Invariant Manifolds: what are the splitting rates?

Published on 08 Jan 2017 - 14:26

33

Views

Manifold homeomorphic to the smooth generator $\mathbb{RP}^4$ but not smoothly $Pin^+$ cobordant

Published on 29 Mar 2026 - 19:17

92

Views

What does the notation $X \langle Y,Z \rangle$ mean, where $X, Y, Z$ are all vector fields on a Riemannian manifold $(M,g)$?

Published on 09 Jan 2017 - 20:18

1.8k

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Is there a condition for the closure of an open subset to be a manifold with boundary?

Published on 10 Jan 2017 - 18:25

507

Views

Every smooth map $S^4 \to\mathbb{CP}^2$ has degree zero

Published on 25 Mar 2026 - 11:10

674

Views

This function must be open if these points are isolated

Published on 11 Jan 2017 - 6:08

75

Views

Does the exterior derivative factor through the standard derivative?

Published on 27 Mar 2026 - 5:04

51

Views

A basic question of cohomology group

Published on 12 Jan 2017 - 9:18

1.5k

Views

What is the surface by identifying antipodal points of a 2-torus embedded in $\mathbb{R}^3$?

Published on 12 Jan 2017 - 20:57

276

Views

Why are Stiefel-Whitney classes not represented in de Rham cohomology?

Published on 26 Mar 2026 - 21:26

123

Views

Correct terminology and notation for a set of diffeomorphisms?

Published on 14 Jan 2017 - 13:28

1.9k

Views

Minimal Number of Charts Covering a Manifold

Published on 14 Jan 2017 - 17:09

List Question

Map between de Rham cohomologies

Euler characteristic = 1 iff manifod simply connected?

$k$-jet transitivity of diffeomorphism group

Normally Hyperbolic Invariant Manifolds: what are the splitting rates?

Manifold homeomorphic to the smooth generator $\mathbb{RP}^4$ but not smoothly $Pin^+$ cobordant

What does the notation $X \langle Y,Z \rangle$ mean, where $X, Y, Z$ are all vector fields on a Riemannian manifold $(M,g)$?

Is there a condition for the closure of an open subset to be a manifold with boundary?

Every smooth map $S^4 \to\mathbb{CP}^2$ has degree zero

This function must be open if these points are isolated

Does the exterior derivative factor through the standard derivative?

A basic question of cohomology group

What is the surface by identifying antipodal points of a 2-torus embedded in $\mathbb{R}^3$?

Why are Stiefel-Whitney classes not represented in de Rham cohomology?

Correct terminology and notation for a set of diffeomorphisms?

Minimal Number of Charts Covering a Manifold

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