Question

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

score 189 · Answer 1 · 2026-04-29 12:53:22

189

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

Published on 29 Apr 2026 - 12:53

score 31 · Answer 2 · 2026-05-10 15:02:33

31

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Relationship between Carnot-Caratheory Distance and Levi-Civita Connection

Published on 10 May 2026 - 15:02

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

868

Views

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

Published on 25 Mar 2026 - 12:54

score 784 · Answer 4 · 2026-03-25 18:48:06

784

Views

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

Published on 25 Mar 2026 - 18:48

score 411 · Answer 5 · 2026-05-05 00:52:29

411

Views

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

Published on 05 May 2026 - 0:52

score 312 · Answer 6 · 2026-05-10 12:30:27

312

Views

Example on Local Systems: Flat Connections

Published on 10 May 2026 - 12:30

score 115 · Answer 7 · 2026-04-16 14:05:30

115

Views

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

Published on 16 Apr 2026 - 14:05

score 474 · Answer 8 · 2026-05-10 15:56:29

474

Views

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

Published on 10 May 2026 - 15:56

score 224 · Answer 9 · 2026-04-10 23:56:45

224

Views

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

Published on 10 Apr 2026 - 23:56

score 146 · Answer 10 · 2026-04-13 06:19:21

146

Views

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

Published on 13 Apr 2026 - 6:19

score 567 · Answer 11 · 2026-04-15 21:12:36

567

Views

Prove that the covariant derivative commutes with musical isomorphisms

Published on 15 Apr 2026 - 21:12

score 511 · Answer 12 · 2026-05-10 15:10:24

511

Views

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

Published on 10 May 2026 - 15:10

score 900 · Answer 13 · 2026-04-13 11:09:19

900

Views

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

Published on 13 Apr 2026 - 11:09

score 589 · Answer 14 · 2026-04-12 12:32:29

589

Views

What is $\nabla X$ in Riemannian geometry?

Published on 12 Apr 2026 - 12:32

score 178 · Answer 15 · 2026-05-10 17:13:40

178

Views

Geodesics of null surface and induced connection

Published on 10 May 2026 - 17:13

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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