List questions from differential-forms

Published on 05 Feb 2014 - 16:35

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The first proof for Poincare lemma in history

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Is line element mathematically rigorous?

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$V, W$ vector fields, $\omega$ one-form, $d\omega(V, W)=?$

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Why 'closed differential forms' are called 'closed'?

Published on 07 Feb 2014 - 21:18

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Criterion of nonsingular varieties

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233

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Writing a diffEQ as $P(x,y)dx + Q(x,y)dy = 0$ instead of in terms of $dy/dx$

Published on 08 Feb 2014 - 23:35

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Solving $P(x,y)dx + Q(x,y)dy =0$: interpretation in terms of forms

Published on 09 Feb 2014 - 2:34

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Inverse Functions and $u$-Substitution

Published on 09 Feb 2014 - 5:17

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Relation between exterior (second) derivative $d^2=0$ and second derivative in multi-variable calculus.

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Why are de Rham cohomology and Cech cohomology of the constant sheaf the same

Published on 04 Apr 2026 - 17:15

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What exactly are n-forms and how are they related to dual vectors?

Published on 24 Feb 2014 - 0:08

392

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pullback on vector fields and 1-forrms

Published on 24 Feb 2014 - 8:58

70

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Proving $d(f^*e_i')=0$

Published on 01 Mar 2014 - 0:30

329

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Homework: calculation about differential form

Published on 02 Mar 2014 - 1:29

List Question

If differential 1-forms agree on chains with integer coefficients, are they equal?

The first proof for Poincare lemma in history

Is line element mathematically rigorous?

$V, W$ vector fields, $\omega$ one-form, $d\omega(V, W)=?$

Why 'closed differential forms' are called 'closed'?

Criterion of nonsingular varieties

Writing a diffEQ as $P(x,y)dx + Q(x,y)dy = 0$ instead of in terms of $dy/dx$

Solving $P(x,y)dx + Q(x,y)dy =0$: interpretation in terms of forms

Inverse Functions and $u$-Substitution

Relation between exterior (second) derivative $d^2=0$ and second derivative in multi-variable calculus.

Why are de Rham cohomology and Cech cohomology of the constant sheaf the same

What exactly are n-forms and how are they related to dual vectors?

pullback on vector fields and 1-forrms

Proving $d(f^*e_i')=0$

Homework: calculation about differential form

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