Question

Construct a diffeomorphism $\psi: B_1 \to \epsilon\text{-neighborhood of } K$, where $K$ is a subset of a smooth manifold.

score 84 · Answer 1 · 2026-04-06 12:41:13

84

Views

Construct a diffeomorphism $\psi: B_1 \to \epsilon\text{-neighborhood of } K$, where $K$ is a subset of a smooth manifold.

Published on 06 Apr 2026 - 12:41

score 317 · Answer 2 · 2026-03-26 14:22:46

317

Views

Integration over the Haar measure of a compact Lie group preserves smoothness?

Published on 26 Mar 2026 - 14:22

score 87 · Answer 3 · 2026-04-06 14:18:43

87

Views

Construct smooth mapping $f: B^{n + 1} \to S^n$ with two singularities at which $f$ has degree $+/- 1$.

Published on 06 Apr 2026 - 14:18

score 126 · Answer 4 · 2026-03-26 16:26:29

126

Views

"Approximate Isometry" in Riemannian Geometry

Published on 26 Mar 2026 - 16:26

score 1.1k · Answer 5 · 2026-03-25 15:39:19

1.1k

Views

Viewing complex projective space as a Grassmannian manifold

Published on 25 Mar 2026 - 15:39

score 176 · Answer 6 · 2026-03-25 21:45:06

176

Views

About codifying length and energy using a one-form

Published on 25 Mar 2026 - 21:45

score 39 · Answer 7 · 2016-07-26 09:25:22

39

Views

1-parametric subgroups of diffeomorphisms induce a complete vector field

Published on 26 Jul 2016 - 9:25

score 155 · Answer 8 · 2026-03-27 15:08:27

155

Views

A natural Poisson bivector on the tangent bundle?

Published on 27 Mar 2026 - 15:08

score 164 · Answer 9 · 2026-03-30 22:37:10

164

Views

Let $X_i, Y_i$ be vector fields on the manifolds M and N. $X_i\oplus Y_j$ on $M\times N$. $[X_1\oplus Y_1,X_2\oplus Y_2]=[X_1,Y_1]\oplus [X_2,Y_2]$

Published on 30 Mar 2026 - 22:37

score 115 · Answer 10 · 2026-03-31 05:26:09

115

Views

$f:M\to N$ smooth manifold map. $F(x)=(x,f(x))\in M\times N$. For each $X\in \mathfrak{X}(M)$ there's a F-related $Y\in \mathfrak{X}(M\times N)$.

Published on 31 Mar 2026 - 5:26

score 374 · Answer 11 · 2026-03-27 14:50:40

374

Views

Rademacher theorem for manifolds

Published on 27 Mar 2026 - 14:50

score 462 · Answer 12 · 2026-03-25 22:23:38

462

Views

The second differential as a differential on the double tangent bundle

Published on 25 Mar 2026 - 22:23

score 109 · Answer 13 · 2026-03-30 11:55:20

109

Views

When is this tensor symmetric?

Published on 30 Mar 2026 - 11:55

score 430 · Answer 14 · 2026-03-30 22:45:11

430

Views

Derivative of norm of vector field

Published on 30 Mar 2026 - 22:45

score 60 · Answer 15 · 2016-07-31 17:40:09

60

Views

Checking if subset of $\mathbb{R}^3$ is $C^1$-manifold

Published on 31 Jul 2016 - 17:40

List Question

Construct a diffeomorphism $\psi: B_1 \to \epsilon\text{-neighborhood of } K$, where $K$ is a subset of a smooth manifold.

Integration over the Haar measure of a compact Lie group preserves smoothness?

Construct smooth mapping $f: B^{n + 1} \to S^n$ with two singularities at which $f$ has degree $+/- 1$.

"Approximate Isometry" in Riemannian Geometry

Viewing complex projective space as a Grassmannian manifold

About codifying length and energy using a one-form

1-parametric subgroups of diffeomorphisms induce a complete vector field

A natural Poisson bivector on the tangent bundle?

Let $X_i, Y_i$ be vector fields on the manifolds M and N. $X_i\oplus Y_j$ on $M\times N$. $[X_1\oplus Y_1,X_2\oplus Y_2]=[X_1,Y_1]\oplus [X_2,Y_2]$

$f:M\to N$ smooth manifold map. $F(x)=(x,f(x))\in M\times N$. For each $X\in \mathfrak{X}(M)$ there's a F-related $Y\in \mathfrak{X}(M\times N)$.

Rademacher theorem for manifolds

The second differential as a differential on the double tangent bundle

When is this tensor symmetric?

Derivative of norm of vector field

Checking if subset of $\mathbb{R}^3$ is $C^1$-manifold

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