Question

Criteria for boundary convexity of hypersurfaces in Euclidean space

score 50 · Answer 1 · 2026-04-12 06:00:21

50

Views

Criteria for boundary convexity of hypersurfaces in Euclidean space

Published on 12 Apr 2026 - 6:00

score 210 · Answer 2 · 2026-04-13 22:39:37

210

Views

Given an embedded $C^k$ submanifold of $R^n$, is the distance function $C^k$?

Published on 13 Apr 2026 - 22:39

score 1k · Answer 3 · 2026-04-14 01:51:57

1k

Views

Show that $f^*\omega = \det(df) \, dx_1\wedge\cdots\wedge dx_n$

Published on 14 Apr 2026 - 1:51

score 95 · Answer 4 · 2026-04-13 14:33:10

95

Views

Precisely what is meant by "$\pi_1(M)$ is torsion"?

Published on 13 Apr 2026 - 14:33

score 180 · Answer 5 · 2026-04-16 13:34:12

Let $U$ be an open set of $R^n$, and let $f: U \to R^n$ be a smooth map. If $A \subset U$ is a measure zero, then $f(A)$ is of measure zero.

score 190 · Answer 6 · 2026-04-11 01:14:39

190

Views

Questions on CW-complexes

Published on 11 Apr 2026 - 1:14

score 6k · Answer 7 · 2026-04-14 13:14:32

6k

Views

$SL(n)$ is a differentiable manifold

Published on 14 Apr 2026 - 13:14

score 1.2k · Answer 8 · 2026-04-14 09:31:03

1.2k

Views

Is $M=\{(x,y)\in \Bbb{R}^2 : x^2 = y^5\}$ a differentiable submanifold?

Published on 14 Apr 2026 - 9:31

score 5.2k · Answer 9 · 2026-04-14 12:10:50

5.2k

Views

Prove that General Linear Group is a topological subgroup.

Published on 14 Apr 2026 - 12:10

score 272 · Answer 10 · 2026-04-11 05:25:46

272

Views

Is there a differentiable function on a closed subset of $\mathbb{R}^n$ that cannot be continued differentiably on an open superset?

Published on 11 Apr 2026 - 5:25

score 291 · Answer 11 · 2026-03-25 09:32:00

291

Views

Why should the source and the target map of a Lie groupoid be submersions?

Published on 25 Mar 2026 - 9:32

score 1.2k · Answer 12 · 2026-04-16 01:09:30

1.2k

Views

A manifold such that its boundary is a deformation retract of the manifold itself.

Published on 16 Apr 2026 - 1:09

score 85 · Answer 13 · 2026-04-12 19:20:35

85

Views

$f$ integrable vs $\int_Af$ exist - in Spivak's Calculus on Manifolds

Published on 12 Apr 2026 - 19:20

score 35 · Answer 14 · 2026-04-13 00:35:56

35

Views

Is the Zariski topology equipped with Eisenstein's metric an analytic submanifold?

Published on 13 Apr 2026 - 0:35

score 128 · Answer 15 · 2026-04-10 21:16:53

128

Views

Curvature shortening flow for immersions

Published on 10 Apr 2026 - 21:16

List Question

Criteria for boundary convexity of hypersurfaces in Euclidean space

Given an embedded $C^k$ submanifold of $R^n$, is the distance function $C^k$?

Show that $f^*\omega = \det(df) \, dx_1\wedge\cdots\wedge dx_n$

Precisely what is meant by "$\pi_1(M)$ is torsion"?

Let $U$ be an open set of $R^n$, and let $f: U \to R^n$ be a smooth map. If $A \subset U$ is a measure zero, then $f(A)$ is of measure zero.

Questions on CW-complexes

$SL(n)$ is a differentiable manifold

Is $M=\{(x,y)\in \Bbb{R}^2 : x^2 = y^5\}$ a differentiable submanifold?

Prove that General Linear Group is a topological subgroup.

Is there a differentiable function on a closed subset of $\mathbb{R}^n$ that cannot be continued differentiably on an open superset?

Why should the source and the target map of a Lie groupoid be submersions?

A manifold such that its boundary is a deformation retract of the manifold itself.

$f$ integrable vs $\int_Af$ exist - in Spivak's Calculus on Manifolds

Is the Zariski topology equipped with Eisenstein's metric an analytic submanifold?

Curvature shortening flow for immersions

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