List questions from differential-forms

Published on 10 May 2026 - 20:40

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Computing DeRham Cohomology of $H^{1}(\Bbb{R})$ and $H^{1}(S^{1})$?

Published on 10 May 2026 - 13:50

56

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Spivak (4.5) $c:[0,1]\to \mathbb{R}^{n^2}$ is continuous then $[c^1(0),\ldots,c^n(0)]=[c^1(1),\ldots,c^n(1)]$

Published on 17 Apr 2026 - 9:05

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Question about differential forms and delta functions

Published on 10 May 2026 - 13:47

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Bott & Tu, Exercise 4.3.1

Published on 16 Apr 2026 - 6:09

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Show that $d(f.g)=f.dg+g.df$

Published on 16 Apr 2026 - 15:00

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Exterior derivative for 1-forms -- derivation of the formula

Published on 10 May 2026 - 15:00

184

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Clarification of pullback notation $F^\ast x$

Published on 12 Apr 2026 - 3:35

45

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Exactness of a 1-form

Published on 12 Apr 2026 - 11:46

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definition 1-form $df$

Published on 10 May 2026 - 13:58

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Here is my proof that the elementary $k$-forms form a basis for $A^k{(\mathbb{R}^n)}$. Is this correct?

Published on 15 Apr 2026 - 20:49

286

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integrating $r$-form over a $k$-dimensional manifold?

Published on 16 Apr 2026 - 0:39

971

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Wedge product and its relation to determinant.

Published on 10 May 2026 - 16:02

74

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Show that $\sum_{i=1}^n D_iF(g)dg_i=0$

Published on 16 Apr 2026 - 10:25

32

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Definition of a integral in a surface

Published on 12 Apr 2026 - 20:37

List Question

Intuitive thinking of differential forms in terms of gradient, divergence and curl?

Computing DeRham Cohomology of $H^{1}(\Bbb{R})$ and $H^{1}(S^{1})$?

Spivak (4.5) $c:[0,1]\to \mathbb{R}^{n^2}$ is continuous then $[c^1(0),\ldots,c^n(0)]=[c^1(1),\ldots,c^n(1)]$

Question about differential forms and delta functions

Bott & Tu, Exercise 4.3.1

Show that $d(f.g)=f.dg+g.df$

Exterior derivative for 1-forms -- derivation of the formula

Clarification of pullback notation $F^\ast x$

Exactness of a 1-form

definition 1-form $df$

Here is my proof that the elementary $k$-forms form a basis for $A^k{(\mathbb{R}^n)}$. Is this correct?

integrating $r$-form over a $k$-dimensional manifold?

Wedge product and its relation to determinant.

Show that $\sum_{i=1}^n D_iF(g)dg_i=0$

Definition of a integral in a surface

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