Question

Ordinary and covariant derivative inequality: $ \| u\|_1 \leq C\left( \| \frac{Du}{dt} \|_0 + \|u\|_0 \right) $

score 183 · Answer 1 · 2026-03-25 16:23:45

183

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Ordinary and covariant derivative inequality: $ \| u\|_1 \leq C\left( \| \frac{Du}{dt} \|_0 + \|u\|_0 \right) $

Published on 25 Mar 2026 - 16:23

score 28 · Answer 2 · 2026-03-25 06:12:15

28

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Relationship between Carnot-Caratheory Distance and Levi-Civita Connection

Published on 25 Mar 2026 - 6:12

score 868 · Answer 3 · 2026-03-25 12:54:09

868

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Lie derivative of Almost complex structure $J$ along a vector field $X$.

Published on 25 Mar 2026 - 12:54

score 783 · Answer 4 · 2019-01-31 10:19:38

783

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Existence of a parallel vector field implies a splitting of the metric

Published on 31 Jan 2019 - 10:19

score 403 · Answer 5 · 2026-03-21 17:04:36

403

Views

How to read the expression of an affine connection: $\nabla_X Y$?

Published on 21 Mar 2026 - 17:04

score 305 · Answer 6 · 2026-03-25 08:11:28

305

Views

Example on Local Systems: Flat Connections

Published on 25 Mar 2026 - 8:11

score 112 · Answer 7 · 2019-02-07 14:17:26

112

Views

Does $\nabla g=\omega(\cdot) g$ imply $\nabla$ is metric w.r.t a conformal rescaling of $g$?

Published on 07 Feb 2019 - 14:17

score 470 · Answer 8 · 2026-03-25 05:10:05

470

Views

Literature suggestion for understanding Gauge theory from the perspective of a Mathematician.

Published on 25 Mar 2026 - 5:10

score 222 · Answer 9 · 2026-03-25 11:20:16

222

Views

Does existence of a parallel section on $E$ imply local existence of a parallel section on $\bigwedge^k E$?

Published on 25 Mar 2026 - 11:20

score 143 · Answer 10 · 2019-02-12 00:20:25

143

Views

In differential geometry, to what extent does the curvature tensor determine its associated connection?

Published on 12 Feb 2019 - 0:20

score 564 · Answer 11 · 2019-02-13 19:40:21

564

Views

Prove that the covariant derivative commutes with musical isomorphisms

Published on 13 Feb 2019 - 19:40

score 505 · Answer 12 · 2026-03-25 04:43:43

505

Views

What constitutes a gauge theory? Help me understand electromagnetism as the prototype of all gauge theories

Published on 25 Mar 2026 - 4:43

score 897 · Answer 13 · 2019-02-21 20:14:16

897

Views

Constructing the flat vector bundle associated to a given linear representation of the fundamental group

Published on 21 Feb 2019 - 20:14

score 586 · Answer 14 · 2019-02-25 12:05:59

586

Views

What is $\nabla X$ in Riemannian geometry?

Published on 25 Feb 2019 - 12:05

score 175 · Answer 15 · 2026-03-25 11:34:14

175

Views

Geodesics of null surface and induced connection

Published on 25 Mar 2026 - 11:34

List Question

Ordinary and covariant derivative inequality: $ \| u\|_1 \leq C\left( \| \frac{Du}{dt} \|_0 + \|u\|_0 \right) $

Relationship between Carnot-Caratheory Distance and Levi-Civita Connection

Lie derivative of Almost complex structure $J$ along a vector field $X$.

Existence of a parallel vector field implies a splitting of the metric

How to read the expression of an affine connection: $\nabla_X Y$?

Example on Local Systems: Flat Connections

Does $\nabla g=\omega(\cdot) g$ imply $\nabla$ is metric w.r.t a conformal rescaling of $g$?

Literature suggestion for understanding Gauge theory from the perspective of a Mathematician.

Does existence of a parallel section on $E$ imply local existence of a parallel section on $\bigwedge^k E$?

In differential geometry, to what extent does the curvature tensor determine its associated connection?

Prove that the covariant derivative commutes with musical isomorphisms

What constitutes a gauge theory? Help me understand electromagnetism as the prototype of all gauge theories

Constructing the flat vector bundle associated to a given linear representation of the fundamental group

What is $\nabla X$ in Riemannian geometry?

Geodesics of null surface and induced connection

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