List questions from exterior-derivative

Published on 05 Nov 2020 - 5:57

207

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Since differential forms of odd rank are anti-commutative, what does that mean for multivariable integration?

Published on 16 Nov 2020 - 22:44

51

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How can I make sense of the equation $\mathrm{d}=\mathrm{d}_{\mathbb R^3}+\mathrm{d}t\wedge\partial_t$? Is it valid for 1-forms only?

Published on 20 Nov 2020 - 19:55

157

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Is my proof of the equation $d=dx^i\wedge \partial_i$ correct?

Published on 21 Nov 2020 - 16:41

867

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Proof of Cartan's Magic formula

Published on 10 Dec 2020 - 20:37

38

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Relationship between $\mathcal{L}_X(d(df))$ and $d(\mathcal{L}_X(df))$?

Published on 10 Dec 2020 - 21:59

28

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Is $\nabla_Y(df) = d(\nabla_Yg)$ for $f=g$?

Published on 15 Dec 2020 - 17:08

42

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multiple-indices in proving Invariant formula of exterior derivative

Published on 09 Jan 2021 - 4:19

44

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Elementary course on exterior differential calculus

Published on 13 Jan 2021 - 11:55

87

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What's the intuitive meaning of the exterior derivative?

Published on 13 Jan 2021 - 15:17

316

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Prove that $d(df)=0$ for any $0$-form

Published on 17 Jan 2021 - 16:17

238

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Interpretation of transport equation for a two-form

Published on 23 Jan 2021 - 3:36

398

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Splitting exterior derivatives on product manifolds

Published on 26 Jan 2021 - 22:49

134

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Applying the exterior differential to the first law of thermodynamics

Published on 07 Feb 2021 - 18:08

143

Views

Exterior Derivative (Constant function)

Published on 09 Feb 2021 - 6:10

List Question

A question about pullback of a smooth form.

Since differential forms of odd rank are anti-commutative, what does that mean for multivariable integration?

How can I make sense of the equation $\mathrm{d}=\mathrm{d}_{\mathbb R^3}+\mathrm{d}t\wedge\partial_t$? Is it valid for 1-forms only?

Is my proof of the equation $d=dx^i\wedge \partial_i$ correct?

Proof of Cartan's Magic formula

Relationship between $\mathcal{L}_X(d(df))$ and $d(\mathcal{L}_X(df))$?

Is $\nabla_Y(df) = d(\nabla_Yg)$ for $f=g$?

multiple-indices in proving Invariant formula of exterior derivative

Elementary course on exterior differential calculus

What's the intuitive meaning of the exterior derivative?

Prove that $d(df)=0$ for any $0$-form

Interpretation of transport equation for a two-form

Splitting exterior derivatives on product manifolds

Applying the exterior differential to the first law of thermodynamics

Exterior Derivative (Constant function)

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