Question

Non existence of a non vanishing 1-form on a compact manifold without boundary

score 331 · Answer 1 · 2017-05-07 06:57:55

331

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Non existence of a non vanishing 1-form on a compact manifold without boundary

Published on 07 May 2017 - 6:57

score 1.4k · Answer 2 · 2017-05-07 18:13:45

1.4k

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Finding the dimension of the space of symmetric $r-$tensors

Published on 07 May 2017 - 18:13

score 554 · Answer 3 · 2017-05-09 01:22:18

554

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Integrating differential forms on a torus

Published on 09 May 2017 - 1:22

score 62 · Answer 4 · 2026-03-25 10:55:50

62

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How to evaluate the operation of a differential form on a vector?

Published on 25 Mar 2026 - 10:55

score 110 · Answer 5 · 2017-05-18 12:49:48

110

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What does the bigrading of forms on a complex manifold correspond to, on the level of complex chains?

Published on 18 May 2017 - 12:49

score 77 · Answer 6 · 2026-03-25 09:53:26

77

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Connection of irreducible representations of holonomy and differential forms

Published on 25 Mar 2026 - 9:53

score 40 · Answer 7 · 2017-05-23 15:10:36

40

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Integral property for 2-forms

Published on 23 May 2017 - 15:10

score 108 · Answer 8 · 2017-05-24 21:52:30

108

Views

Sphere bundles cohomology when a global n-form exists

Published on 24 May 2017 - 21:52

score 4.6k · Answer 9 · 2017-05-25 09:45:55

4.6k

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What does it mean to multiply differentials?

Published on 25 May 2017 - 9:45

score 417 · Answer 10 · 2017-05-25 18:26:42

417

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Prove that closed form is zero somewhere on the unit sphere.

Published on 25 May 2017 - 18:26

score 1.2k · Answer 11 · 2017-05-28 14:26:41

1.2k

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Change of variables formula for diffeomorphisms between manifolds

Published on 28 May 2017 - 14:26

score 457 · Answer 12 · 2017-05-28 17:45:15

457

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Exercise 11, Chapter 3 of Do Carmo's "Riemannian Geometry"

Published on 28 May 2017 - 17:45

score 176 · Answer 13 · 2026-03-27 05:41:52

176

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Integrate form $\omega=x_jdx_{1}\wedge\cdots\wedge dx_{i-1}\wedge dx_{i+1}\wedge\cdots dx_n$ on $S=\{\textbf{x}\in\mathbb{R^n}:||\textbf{x}||=1\}$

Published on 27 Mar 2026 - 5:41

score 1.6k · Answer 14 · 2017-06-03 18:00:47

1.6k

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Hodge dual of $4$-form in Minkowski spacetime

Published on 03 Jun 2017 - 18:00

score 2.7k · Answer 15 · 2026-04-05 23:17:19

2.7k

Views

Evaluating a differential 2-form on test vector fields

Published on 05 Apr 2026 - 23:17

List Question

Non existence of a non vanishing 1-form on a compact manifold without boundary

Finding the dimension of the space of symmetric $r-$tensors

Integrating differential forms on a torus

How to evaluate the operation of a differential form on a vector?

What does the bigrading of forms on a complex manifold correspond to, on the level of complex chains?

Connection of irreducible representations of holonomy and differential forms

Integral property for 2-forms

Sphere bundles cohomology when a global n-form exists

What does it mean to multiply differentials?

Prove that closed form is zero somewhere on the unit sphere.

Change of variables formula for diffeomorphisms between manifolds

Exercise 11, Chapter 3 of Do Carmo's "Riemannian Geometry"

Integrate form $\omega=x_jdx_{1}\wedge\cdots\wedge dx_{i-1}\wedge dx_{i+1}\wedge\cdots dx_n$ on $S=\{\textbf{x}\in\mathbb{R^n}:||\textbf{x}||=1\}$

Hodge dual of $4$-form in Minkowski spacetime

Evaluating a differential 2-form on test vector fields

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