Question

$F$ is local diffeomorphism $\Leftrightarrow$ $F$ preserves or reverses orientation.

score 1.5k · Answer 1 · 2026-03-25 06:03:39

1.5k

Views

$F$ is local diffeomorphism $\Leftrightarrow$ $F$ preserves or reverses orientation.

Published on 25 Mar 2026 - 6:03

score 182 · Answer 2 · 2026-04-03 20:26:13

182

Views

Discrete first and second fundamental forms

Published on 03 Apr 2026 - 20:26

score 56 · Answer 3 · 2018-06-09 10:57:24

56

Views

topology on $\text{Hom}_{\mathbb R}(E,E')$ for two real vector bundles $E \to M$, $E'\to M$

Published on 09 Jun 2018 - 10:57

score 243 · Answer 4 · 2026-03-25 07:45:01

243

Views

Second principal curvature of a surface of revolution at z=0

Published on 25 Mar 2026 - 7:45

score 174 · Answer 5 · 2026-03-27 05:38:07

174

Views

Derivative rule for a tangent vector space in a Riemannian manifold

Published on 27 Mar 2026 - 5:38

score 74 · Answer 6 · 2026-03-31 19:14:22

74

Views

Parametrizing intersection curve of cylinder and a ball

Published on 31 Mar 2026 - 19:14

score 244 · Answer 7 · 2026-03-25 07:42:04

244

Views

How to differentiate a tensor like $ A = A^{\alpha\beta} e_{\alpha} ⊗ e_{\beta} $ wrt $ x^{\mu} $?

Published on 25 Mar 2026 - 7:42

score 854 · Answer 8 · 2026-03-25 20:14:12

854

Views

Could someone walk me through this proof that the helicoid is the only minimal surface (besides the plane) that is also ruled?

Published on 25 Mar 2026 - 20:14

score 101 · Answer 9 · 2018-06-10 12:38:48

101

Views

How to solve $y = \frac{x}{\sqrt{1-|x|^2}}$ for x

Published on 10 Jun 2018 - 12:38

score 392 · Answer 10 · 2026-04-01 09:33:01

392

Views

Open set of positive curvature exists in $S \subset \mathbb{R}^3$ regular, compact, connected, orientable.

Published on 01 Apr 2026 - 9:33

score 229 · Answer 11 · 2026-03-25 17:42:10

229

Views

Proving the exponent of an element of a the Lie Algebra is an element of the Lie group.

Published on 25 Mar 2026 - 17:42

score 602 · Answer 12 · 2026-03-25 09:26:13

602

Views

Help to correct answer: Product of orientable manifolds is orientable

Published on 25 Mar 2026 - 9:26

score 85 · Answer 13 · 2026-03-25 23:24:43

85

Views

A step in the proof of Gauss's lemma in Riemannian geometry

Published on 25 Mar 2026 - 23:24

score 490 · Answer 14 · 2026-03-25 12:24:15

490

Views

Covariant derivative and orthogonal projection

Published on 25 Mar 2026 - 12:24

score 388 · Answer 15 · 2026-03-25 04:43:24

388

Views

How are both of these true: $J = \nabla f ^T $, and also $\nabla f = J^T f$?

Published on 25 Mar 2026 - 4:43

List Question

$F$ is local diffeomorphism $\Leftrightarrow$ $F$ preserves or reverses orientation.

Discrete first and second fundamental forms

topology on $\text{Hom}_{\mathbb R}(E,E')$ for two real vector bundles $E \to M$, $E'\to M$

Second principal curvature of a surface of revolution at z=0

Derivative rule for a tangent vector space in a Riemannian manifold

Parametrizing intersection curve of cylinder and a ball

How to differentiate a tensor like $ A = A^{\alpha\beta} e_{\alpha} ⊗ e_{\beta} $ wrt $ x^{\mu} $?

Could someone walk me through this proof that the helicoid is the only minimal surface (besides the plane) that is also ruled?

How to solve $y = \frac{x}{\sqrt{1-|x|^2}}$ for x

Open set of positive curvature exists in $S \subset \mathbb{R}^3$ regular, compact, connected, orientable.

Proving the exponent of an element of a the Lie Algebra is an element of the Lie group.

Help to correct answer: Product of orientable manifolds is orientable

A step in the proof of Gauss's lemma in Riemannian geometry

Covariant derivative and orthogonal projection

How are both of these true: $J = \nabla f ^T $, and also $\nabla f = J^T f$?

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