Question

Computing $\omega^n=\omega\cdots \omega$ ($n$ fold product), where $\omega=\sum\limits_{k=0}^{n}dx_idy_i$

score 41 · Answer 1 · 2026-04-15 02:37:24

41

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Computing $\omega^n=\omega\cdots \omega$ ($n$ fold product), where $\omega=\sum\limits_{k=0}^{n}dx_idy_i$

Published on 15 Apr 2026 - 2:37

score 148 · Answer 2 · 2026-04-11 11:08:39

148

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Is there any interpretation on the Hodge star operator being invariant under holomorphic change of coordinates?

Published on 11 Apr 2026 - 11:08

score 207 · Answer 3 · 2026-04-13 23:20:00

207

Views

Understanding Leray-Hirsch theorem from Bott and Tu.

Published on 13 Apr 2026 - 23:20

score 88 · Answer 4 · 2026-04-14 23:48:49

88

Views

does the definition of a $C^k$ differential form rely on a smooth structure?

Published on 14 Apr 2026 - 23:48

score 163 · Answer 5 · 2026-04-18 07:41:33

163

Views

Lectures on differential forms and Riemannian Geometry

Published on 18 Apr 2026 - 7:41

score 116 · Answer 6 · 2026-04-14 08:33:14

116

Views

Differential of Elliptic curve with bad reduction

Published on 14 Apr 2026 - 8:33

score 136 · Answer 7 · 2026-04-15 18:12:32

136

Views

Is there any book discussing geometry through differential forms?

Published on 15 Apr 2026 - 18:12

score 193 · Answer 8 · 2026-04-12 13:04:29

193

Views

Stokes theorem for integrating a scalar times normal over a surface area

Published on 12 Apr 2026 - 13:04

score 49 · Answer 9 · 2026-04-16 15:16:18

49

Views

Proving that $\ast\ast\alpha=(-1)^{kn+k}\alpha$ for every $k$-form $\alpha$ on $\mathbb{R}^n$.

Published on 16 Apr 2026 - 15:16

score 47 · Answer 10 · 2026-04-12 23:57:42

47

Views

Geometrical meaning of substituting third variable as a function of other two when doing a surface integral in differential forms

Published on 12 Apr 2026 - 23:57

score 65 · Answer 11 · 2026-04-15 07:22:29

65

Views

Extension of normal form when doing surface integrals

Published on 15 Apr 2026 - 7:22

score 51 · Answer 12 · 2026-04-12 05:31:29

51

Views

Question on Poincaré Lemma for Rectangles Proof

Published on 12 Apr 2026 - 5:31

score 35 · Answer 13 · 2026-04-13 10:21:23

35

Views

The coordinate differentials are not vectors, what does their external product mean?

Published on 13 Apr 2026 - 10:21

score 49 · Answer 14 · 2026-04-14 04:05:21

49

Views

How can we view the image of curvature form under invariant polynomial of degree $k$ $f(\Omega)$ as a 2$k$-form?

Published on 14 Apr 2026 - 4:05

score 71 · Answer 15 · 2026-04-13 04:39:45

71

Views

definition of lie bracket of linear connection and a $\operatorname{End}(E)$-valued $k$-form

Published on 13 Apr 2026 - 4:39

List Question

Computing $\omega^n=\omega\cdots \omega$ ($n$ fold product), where $\omega=\sum\limits_{k=0}^{n}dx_idy_i$

Is there any interpretation on the Hodge star operator being invariant under holomorphic change of coordinates?

Understanding Leray-Hirsch theorem from Bott and Tu.

does the definition of a $C^k$ differential form rely on a smooth structure?

Lectures on differential forms and Riemannian Geometry

Differential of Elliptic curve with bad reduction

Is there any book discussing geometry through differential forms?

Stokes theorem for integrating a scalar times normal over a surface area

Proving that $\ast\ast\alpha=(-1)^{kn+k}\alpha$ for every $k$-form $\alpha$ on $\mathbb{R}^n$.

Geometrical meaning of substituting third variable as a function of other two when doing a surface integral in differential forms

Extension of normal form when doing surface integrals

Question on Poincaré Lemma for Rectangles Proof

The coordinate differentials are not vectors, what does their external product mean?

How can we view the image of curvature form under invariant polynomial of degree $k$ $f(\Omega)$ as a 2$k$-form?

definition of lie bracket of linear connection and a $\operatorname{End}(E)$-valued $k$-form

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