Question

Question about a proof in differential geometry and notation

score 82 · Answer 1 · 2026-04-12 20:56:38

82

Views

Question about a proof in differential geometry and notation

Published on 12 Apr 2026 - 20:56

score 388 · Answer 2 · 2026-04-16 10:19:30

388

Views

Help pulling back the tautological one-form on the cotangent bundle $T^*M$ to the tangent bundle $TM$ using a Riemannian metric on $M$

Published on 16 Apr 2026 - 10:19

score 221 · Answer 3 · 2026-04-15 03:08:21

221

Views

Can we get a soldering "form" whose pull-backs encode arbitrary tensor components?

Published on 15 Apr 2026 - 3:08

score 57 · Answer 4 · 2026-04-10 17:24:52

57

Views

$v$ is locally potential iff $\text{d}\omega = 0$, where $\omega (u) = \left<v,u\right>$ is a $1-$form.

Published on 10 Apr 2026 - 17:24

score 80 · Answer 5 · 2026-04-10 14:01:22

80

Views

Does $\star(\text{d}\omega)=0$ implies $\text{d}\omega=0$?

Published on 10 Apr 2026 - 14:01

score 533 · Answer 6 · 2026-04-15 06:07:51

533

Views

Why does the electromagnetic tensor in component form coincide with the differential-geometric definition of a $2$-form?

Published on 15 Apr 2026 - 6:07

score 120 · Answer 7 · 2026-04-13 12:00:56

120

Views

What is the meaning of the exterior derivative of a nonholonomic constraint?

Published on 13 Apr 2026 - 12:00

score 225 · Answer 8 · 2026-04-13 23:18:50

225

Views

Is every differential 1-form a linear combination of closed forms?

Published on 13 Apr 2026 - 23:18

score 73 · Answer 9 · 2026-04-13 19:04:37

73

Views

If $M\subseteq H$ is a submanifold diffeomorphic to the 1-sphere $\mathbb{S}^1$, then $\int _M\omega =0$

Published on 13 Apr 2026 - 19:04

score 109 · Answer 10 · 2026-04-16 12:23:29

109

Views

Commuting vector fields and invariant 2-form

Published on 16 Apr 2026 - 12:23

score 81 · Answer 11 · 2026-04-11 01:01:39

81

Views

What is happening when we integrate differentials?

Published on 11 Apr 2026 - 1:01

score 74 · Answer 12 · 2026-04-15 10:53:36

74

Views

Why does the factor of 1/2 appear in implicit summation of 2-form?

Published on 15 Apr 2026 - 10:53

score 61 · Answer 13 · 2026-04-14 13:08:00

61

Views

Measure associated to a top-degree differential form (not necessarily a volume form) on a K-analytic manifold (K a local field)

Published on 14 Apr 2026 - 13:08

score 132 · Answer 14 · 2026-04-14 07:20:49

132

Views

Definition of differential forms of class $C^{k}$

Published on 14 Apr 2026 - 7:20

score 81 · Answer 15 · 2026-04-14 01:05:56

81

Views

How to show that the integral of this volume-form over $S^n$ isn't 0?

Published on 14 Apr 2026 - 1:05

List Question

Question about a proof in differential geometry and notation

Help pulling back the tautological one-form on the cotangent bundle $T^*M$ to the tangent bundle $TM$ using a Riemannian metric on $M$

Can we get a soldering "form" whose pull-backs encode arbitrary tensor components?

$v$ is locally potential iff $\text{d}\omega = 0$, where $\omega (u) = \left<v,u\right>$ is a $1-$form.

Does $\star(\text{d}\omega)=0$ implies $\text{d}\omega=0$?

Why does the electromagnetic tensor in component form coincide with the differential-geometric definition of a $2$-form?

What is the meaning of the exterior derivative of a nonholonomic constraint?

Is every differential 1-form a linear combination of closed forms?

If $M\subseteq H$ is a submanifold diffeomorphic to the 1-sphere $\mathbb{S}^1$, then $\int _M\omega =0$

Commuting vector fields and invariant 2-form

What is happening when we integrate differentials?

Why does the factor of 1/2 appear in implicit summation of 2-form?

Measure associated to a top-degree differential form (not necessarily a volume form) on a K-analytic manifold (K a local field)

Definition of differential forms of class $C^{k}$

How to show that the integral of this volume-form over $S^n$ isn't 0?

Trending Questions

Popular # Hahtags

Popular Questions