Question

Uniqueness of a "restriction" of a local operator $\alpha:\Gamma(E)\to \Gamma(F)$, where $E,F\to M$ are smooth vector bundles

score 128 · Answer 1 · 2026-03-29 23:46:20

128

Views

Uniqueness of a "restriction" of a local operator $\alpha:\Gamma(E)\to \Gamma(F)$, where $E,F\to M$ are smooth vector bundles

Published on 29 Mar 2026 - 23:46

score 139 · Answer 2 · 2026-03-25 21:47:30

139

Views

Upper and lower indices when identifying tangent space vectors with underlying vector space

Published on 25 Mar 2026 - 21:47

score 517 · Answer 3 · 2026-03-25 17:20:56

517

Views

Hessian form of a real valued function on a submanifold of $\mathbb{R}^{n+m}$

Published on 25 Mar 2026 - 17:20

score 133 · Answer 4 · 2026-03-26 12:41:11

133

Views

Geodesic surfaces in manifolds, what are they called, and do they exist?

Published on 26 Mar 2026 - 12:41

score 103 · Answer 5 · 2020-07-29 21:41:38

103

Views

Show that $f(y)-f(x)=\int_{0}^{1}{\frac{d}{dt}(f(\gamma(t)))dt}$ on a manifold.

Published on 29 Jul 2020 - 21:41

score 168 · Answer 6 · 2026-03-26 08:14:48

168

Views

What can we say if the gradient at the boundary has constant norm?

Published on 26 Mar 2026 - 8:14

score 452 · Answer 7 · 2020-07-30 14:48:42

452

Views

Volume form of a submanifold with codimension $>1$

Published on 30 Jul 2020 - 14:48

score 106 · Answer 8 · 2026-03-26 21:07:46

106

Views

Green's Theorem, Divergence Theorem or Stoke's Theorem?

Published on 26 Mar 2026 - 21:07

score 148 · Answer 9 · 2026-03-25 17:20:54

148

Views

Strictly convex submanifold of $\mathbb{R}^n$ of codimension 1

Published on 25 Mar 2026 - 17:20

score 172 · Answer 10 · 2016-07-06 04:33:40

172

Views

When are embeddings into Euclidean space unique up to ambient isometry?

Published on 06 Jul 2016 - 4:33

score 1.3k · Answer 11 · 2026-03-26 12:35:04

1.3k

Views

Divergent Curves and Complete Manifolds

Published on 26 Mar 2026 - 12:35

score 121 · Answer 12 · 2016-07-06 12:45:02

121

Views

How is defined the inner product $g_p$ on $T_p \mathbb{R}^n/\Gamma$ at the point $p$?

Published on 06 Jul 2016 - 12:45

score 88 · Answer 13 · 2026-03-26 06:21:36

88

Views

Intuition behind definition of K-K asymptotic flatness

Published on 26 Mar 2026 - 6:21

score 188 · Answer 14 · 2026-03-26 20:44:34

188

Views

How interpret the dual lattice $\Gamma^*$?

Published on 26 Mar 2026 - 20:44

score 343 · Answer 15 · 2026-03-28 05:21:58

343

Views

A parallel transport around the Earth

Published on 28 Mar 2026 - 5:21

List Question

Uniqueness of a "restriction" of a local operator $\alpha:\Gamma(E)\to \Gamma(F)$, where $E,F\to M$ are smooth vector bundles

Upper and lower indices when identifying tangent space vectors with underlying vector space

Hessian form of a real valued function on a submanifold of $\mathbb{R}^{n+m}$

Geodesic surfaces in manifolds, what are they called, and do they exist?

Show that $f(y)-f(x)=\int_{0}^{1}{\frac{d}{dt}(f(\gamma(t)))dt}$ on a manifold.

What can we say if the gradient at the boundary has constant norm?

Volume form of a submanifold with codimension $>1$

Green's Theorem, Divergence Theorem or Stoke's Theorem?

Strictly convex submanifold of $\mathbb{R}^n$ of codimension 1

When are embeddings into Euclidean space unique up to ambient isometry?

Divergent Curves and Complete Manifolds

How is defined the inner product $g_p$ on $T_p \mathbb{R}^n/\Gamma$ at the point $p$?

Intuition behind definition of K-K asymptotic flatness

How interpret the dual lattice $\Gamma^*$?

A parallel transport around the Earth

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