Question

A chart of a $k$-dimensional submanifold maps interior points to $(\mathbb H^k)^\circ$ and boundary points to $\partial\mathbb H^k$

score 64 · Answer 1 · 2026-03-25 15:42:18

64

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A chart of a $k$-dimensional submanifold maps interior points to $(\mathbb H^k)^\circ$ and boundary points to $\partial\mathbb H^k$

Published on 25 Mar 2026 - 15:42

score 97 · Answer 2 · 2026-03-27 21:20:30

97

Views

$\operatorname{U}(4n) \supset \frac{\operatorname{Sp}(n) \times \operatorname{Sp}(m)}{\mathbb{Z}_2}$ for some maximum of $m$?

Published on 27 Mar 2026 - 21:20

score 328 · Answer 3 · 2026-03-25 19:02:06

328

Views

Local maximum and critical points smooth manifolds surjectivity

Published on 25 Mar 2026 - 19:02

score 168 · Answer 4 · 2026-03-26 03:11:19

168

Views

Tangent space of projection operators in $\mathbb{R}^3$

Published on 26 Mar 2026 - 3:11

score 751 · Answer 5 · 2026-03-27 21:23:56

751

Views

Proof of Smoothness of Projection Maps & Maps to Cartesian Product

Published on 27 Mar 2026 - 21:23

score 52 · Answer 6 · 2026-04-06 16:18:03

52

Views

Question about Thm 3.4.2 in Brian Hall's book in Lie Algebras

Published on 06 Apr 2026 - 16:18

score 245 · Answer 7 · 2026-03-28 12:14:33

245

Views

Existence of minimizer of energy

Published on 28 Mar 2026 - 12:14

score 113 · Answer 8 · 2026-04-06 16:14:58

113

Views

2-dimensional regular submanifold of $GL(2, \Bbb R)$

Published on 06 Apr 2026 - 16:14

score 62 · Answer 9 · 2026-03-26 08:23:10

62

Views

If $T$ is a continuous bijection on $\mathbb R^d$, and $M$ is a $C^1$-submanifold with boundary, is $T(\partial M)=\partial T(M)$?

Published on 26 Mar 2026 - 8:23

score 1k · Answer 10 · 2026-03-29 11:44:22

1k

Views

Gradient and laplacian of a function defined on Riemannian manifold in local coordinates.

Published on 29 Mar 2026 - 11:44

score 47 · Answer 11 · 2020-07-16 15:45:39

47

Views

Non connected manifold, how to show it?

Published on 16 Jul 2020 - 15:45

score 817 · Answer 12 · 2026-04-05 14:56:22

817

Views

Divergence of a vector field on a riemannian manifold

Published on 05 Apr 2026 - 14:56

score 655 · Answer 13 · 2026-04-06 16:11:54

655

Views

Diffeomorphism theorem for Lie Groups?

Published on 06 Apr 2026 - 16:11

score 139 · Answer 14 · 2026-03-25 17:22:20

139

Views

If $M$ is a domain of class $\mathcal C$, is $\partial M$ a $(d-1)$-dimensional $\mathcal C$-submanifold?

Published on 25 Mar 2026 - 17:22

score 72 · Answer 15 · 2026-03-25 19:05:45

72

Views

boundary and interior of an embedded submanifold with boundary described by a single chart

Published on 25 Mar 2026 - 19:05

List Question

A chart of a $k$-dimensional submanifold maps interior points to $(\mathbb H^k)^\circ$ and boundary points to $\partial\mathbb H^k$

$\operatorname{U}(4n) \supset \frac{\operatorname{Sp}(n) \times \operatorname{Sp}(m)}{\mathbb{Z}_2}$ for some maximum of $m$?

Local maximum and critical points smooth manifolds surjectivity

Tangent space of projection operators in $\mathbb{R}^3$

Proof of Smoothness of Projection Maps & Maps to Cartesian Product

Question about Thm 3.4.2 in Brian Hall's book in Lie Algebras

Existence of minimizer of energy

2-dimensional regular submanifold of $GL(2, \Bbb R)$

If $T$ is a continuous bijection on $\mathbb R^d$, and $M$ is a $C^1$-submanifold with boundary, is $T(\partial M)=\partial T(M)$?

Gradient and laplacian of a function defined on Riemannian manifold in local coordinates.

Non connected manifold, how to show it?

Divergence of a vector field on a riemannian manifold

Diffeomorphism theorem for Lie Groups?

If $M$ is a domain of class $\mathcal C$, is $\partial M$ a $(d-1)$-dimensional $\mathcal C$-submanifold?

boundary and interior of an embedded submanifold with boundary described by a single chart

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