Question

Study materials to help understand the generalized Stokes' theorem both intuitively and rigorously?

score 930 · Answer 1 · 2015-12-31 11:51:04

930

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Study materials to help understand the generalized Stokes' theorem both intuitively and rigorously?

Published on 31 Dec 2015 - 11:51

score 70 · Answer 2 · 2016-01-01 20:57:15

70

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is the vector space of n- forms of an n-manifold equal to the vector space of compactly supported n-forms?

Published on 01 Jan 2016 - 20:57

score 234 · Answer 3 · 2016-01-04 22:46:09

234

Views

Possible error in Guillemin and Pollack RE de Rahm cohomology?

Published on 04 Jan 2016 - 22:46

score 685 · Answer 4 · 2016-01-05 17:35:57

685

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Spivak Calculus on Manifolds - Theorem 4-10

Published on 05 Jan 2016 - 17:35

score 211 · Answer 5 · 2016-01-06 02:12:14

211

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Why do books refer to $dx_1, \ldots, dx_n$ as differentials and also as covectors?

Published on 06 Jan 2016 - 2:12

score 355 · Answer 6 · 2026-03-25 12:50:44

355

Views

Integrating a density over a Mobius strip

Published on 25 Mar 2026 - 12:50

score 181 · Answer 7 · 2016-01-06 10:49:12

181

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Finding a one-form $\lambda$ such that $d\lambda = \omega$

Published on 06 Jan 2016 - 10:49

score 1.6k · Answer 8 · 2026-03-28 14:37:53

1.6k

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Poincare's lemma for 1-form

Published on 28 Mar 2026 - 14:37

score 294 · Answer 9 · 2026-03-31 18:45:30

294

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Find type of a differential form on an almost complex manifold

Published on 31 Mar 2026 - 18:45

score 405 · Answer 10 · 2016-01-09 15:08:18

405

Views

Show that $\alpha \wedge \mathrm d \alpha =0$ when $\alpha \in \Omega ^1(M)$ and $d(f\alpha) = 0$ for some nowhere zero function $f$

Published on 09 Jan 2016 - 15:08

score 145 · Answer 11 · 2016-01-10 04:29:17

145

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When are differential forms related by a base space automorphism?

Published on 10 Jan 2016 - 4:29

score 44 · Answer 12 · 2016-01-10 17:23:54

44

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$k$-form on $\mathbb{P}^n(\mathbb{R})$

Published on 10 Jan 2016 - 17:23

score 238 · Answer 13 · 2016-01-10 19:15:11

238

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$\omega = x^2dx + xydy + xzdz$ over $S^2 = \{(x,y,z) \in \mathbb R^3 \mid x^2 + y^2 + z^2 = 1\}$

Published on 10 Jan 2016 - 19:15

score 101 · Answer 14 · 2026-04-05 00:34:10

101

Views

Integration of one form

Published on 05 Apr 2026 - 0:34

score 130 · Answer 15 · 2016-01-11 11:03:01

130

Views

What does the notation $g\cdot\omega$ mean in Spivak's Calculus on manifolds?

Published on 11 Jan 2016 - 11:03

List Question

Study materials to help understand the generalized Stokes' theorem both intuitively and rigorously?

is the vector space of n- forms of an n-manifold equal to the vector space of compactly supported n-forms?

Possible error in Guillemin and Pollack RE de Rahm cohomology?

Spivak Calculus on Manifolds - Theorem 4-10

Why do books refer to $dx_1, \ldots, dx_n$ as differentials and also as covectors?

Integrating a density over a Mobius strip

Finding a one-form $\lambda$ such that $d\lambda = \omega$

Poincare's lemma for 1-form

Find type of a differential form on an almost complex manifold

Show that $\alpha \wedge \mathrm d \alpha =0$ when $\alpha \in \Omega ^1(M)$ and $d(f\alpha) = 0$ for some nowhere zero function $f$

When are differential forms related by a base space automorphism?

$k$-form on $\mathbb{P}^n(\mathbb{R})$

$\omega = x^2dx + xydy + xzdz$ over $S^2 = \{(x,y,z) \in \mathbb R^3 \mid x^2 + y^2 + z^2 = 1\}$

Integration of one form

What does the notation $g\cdot\omega$ mean in Spivak's Calculus on manifolds?

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