List questions from differential-forms

Published on 20 Apr 2014 - 10:06

364

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Flat Surfaces in $\mathbb{R}^3$ Can Be Bent Only Along Straight Lines

Published on 26 Mar 2026 - 16:26

1.2k

Views

Line integral - should I parametrize the square?

Published on 22 Apr 2014 - 9:31

106

Views

How to show $\nu=dx_1\wedge\ldots \wedge dx_n$?

Published on 25 Mar 2026 - 17:22

1.7k

Views

Product rule for differential forms?

Published on 26 Apr 2014 - 1:49

2k

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show that $\omega$ is exact if and only if the integral of $\omega$ over every $p$-cycle is $0$

Published on 26 Mar 2026 - 14:22

1.3k

Views

If $\omega\wedge\beta$ is exact for every closed form $\beta$, then $\omega$ is exact.

Published on 25 Mar 2026 - 22:04

345

Views

A question on differential topology

Published on 27 Apr 2014 - 16:31

405

Views

How to show the identity $d(*df)=(\Delta f)\nu$ where $\nu=dx_1\wedge\ldots \wedge dx_n$?

Published on 28 Apr 2014 - 11:24

117

Views

Evaluate $\int_{\delta S} w$ where $w = (x + y)dz + (y + z)dx + (x + z)dy$ and $S$ is the upper part of the unit sphere

Published on 29 Apr 2014 - 1:07

1k

Views

diffeomorphism preserve a volume form

Published on 29 Apr 2014 - 17:27

1.4k

Views

Pullback of Differential-Form

Published on 25 Mar 2026 - 23:35

758

Views

De Rham cohomology, and forms on manifolds

Published on 05 May 2014 - 12:06

102

Views

Defining the integral of differential $1$-forms

Published on 06 May 2014 - 18:09

12.6k

Views

Show that the form $w$ is closed but not exact

Published on 08 May 2014 - 18:21

List Question

A few identities on differential forms

Flat Surfaces in $\mathbb{R}^3$ Can Be Bent Only Along Straight Lines

Line integral - should I parametrize the square?

How to show $\nu=dx_1\wedge\ldots \wedge dx_n$?

Product rule for differential forms?

show that $\omega$ is exact if and only if the integral of $\omega$ over every $p$-cycle is $0$

If $\omega\wedge\beta$ is exact for every closed form $\beta$, then $\omega$ is exact.

A question on differential topology

How to show the identity $d(*df)=(\Delta f)\nu$ where $\nu=dx_1\wedge\ldots \wedge dx_n$?

Evaluate $\int_{\delta S} w$ where $w = (x + y)dz + (y + z)dx + (x + z)dy$ and $S$ is the upper part of the unit sphere

diffeomorphism preserve a volume form

Pullback of Differential-Form

De Rham cohomology, and forms on manifolds

Defining the integral of differential $1$-forms

Show that the form $w$ is closed but not exact

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