List questions from differential-forms

315

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Isomorphism between space of differential forms and space of basic forms on pricipal $S^1$-bundle and independence of cohomology class

Published on 25 Mar 2026 - 16:05

266

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Why are differential forms so convenient? (In applied mathematics)

Published on 03 Nov 2019 - 15:46

23

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is there such a thing as a 3-boundary or "hypersurface" in $\mathbb{R}^3$? RE:de Rham chain complexes.

Published on 04 Nov 2019 - 1:57

280

Views

How to understand direct sum of tensor spaces?

Published on 30 Mar 2026 - 8:57

368

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Is df a 1-form or a "1-form field"?

Published on 23 Feb 2026 - 4:38

556

Views

Inner Product of Forms - Notation Confusion

Published on 28 Mar 2026 - 20:06

247

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Extending a differential form from a subset of $S^2$ to $S^2$ and then integrating it

Published on 06 Nov 2019 - 16:55

348

Views

Is there a partial exterior derivative?

Published on 23 Feb 2026 - 4:36

51

Views

Proving The Operator D^2 is Tensorial, For D Being A Connection

Published on 26 Mar 2026 - 9:16

909

Views

Show that the path integral of the pullback of a 1-form is equal to the integral of the 1-form over the transformation image of the curve

Published on 23 Feb 2026 - 4:43

91

Views

Vector surface integral - pseudovector?

Published on 27 Mar 2026 - 17:05

281

Views

Hyperbolic point: there are points at both sides of tangent plane

Published on 30 Mar 2026 - 0:00

137

Views

Property of exterior derivative of alternating forms

Published on 23 Feb 2026 - 4:40

107

Views

Two ways to define differential forms

Published on 14 Nov 2019 - 21:22

42

Views

Integrating a particular form on a manifold

Published on 15 Nov 2019 - 11:26

List Question

Isomorphism between space of differential forms and space of basic forms on pricipal $S^1$-bundle and independence of cohomology class

Why are differential forms so convenient? (In applied mathematics)

is there such a thing as a 3-boundary or "hypersurface" in $\mathbb{R}^3$? RE:de Rham chain complexes.

How to understand direct sum of tensor spaces?

Is df a 1-form or a "1-form field"?

Inner Product of Forms - Notation Confusion

Extending a differential form from a subset of $S^2$ to $S^2$ and then integrating it

Is there a partial exterior derivative?

Proving The Operator D^2 is Tensorial, For D Being A Connection

Show that the path integral of the pullback of a 1-form is equal to the integral of the 1-form over the transformation image of the curve

Vector surface integral - pseudovector?

Hyperbolic point: there are points at both sides of tangent plane

Property of exterior derivative of alternating forms

Two ways to define differential forms

Integrating a particular form on a manifold

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