List questions from differential-forms

Published on 26 Feb 2013 - 20:56

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Are these two definitions of exterior derivative equivalent?

Published on 10 Apr 2026 - 21:47

6.9k

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Are Clifford algebras and differential forms equivalent frameworks for differential geometry?

Published on 27 Mar 2026 - 23:01

198

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Dimension of intersection of two manifold

Published on 01 Mar 2013 - 7:46

125

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Find a $1$-form whose exterior derivative is $2x^2y^2dydz +3xz^2dzdx - 4xy^2dxdy$

Published on 01 Mar 2013 - 9:18

231

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How is differential form different from ordinary calculus objects?

Published on 12 Apr 2026 - 2:24

4.8k

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Chain rule and differential forms

Published on 02 Mar 2013 - 17:45

234

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Restricting the domain of an integral on a manifold

Published on 11 Apr 2026 - 23:20

1.6k

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Sphere volume and generalized Stokes' theorem

Published on 12 Apr 2026 - 0:13

426

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Finding the winding number of a curve

Published on 13 Mar 2013 - 13:47

861

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Relating volume elements and metrics. Does a volume element + uniform structure induce a metric?

Published on 12 Apr 2026 - 6:51

180

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Is $\zeta=\frac{x dy \wedge dz+y dz \wedge dx+z dx \wedge dy}{r^3}$ exact in the complement of every line through the origin?

Published on 12 Apr 2026 - 6:07

140

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Use the Fundamental Theorem to deduce the formula for the area of an ellipse.

Published on 30 Mar 2026 - 5:38

115

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Use Fund Thm to evaluate the integral of $ ze^{x^2} dydz + 3ys dydz + (2-yz^7)dxdy $ over surface of the unit cube, except bottom face.

Published on 19 Mar 2013 - 8:59

2k

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Dimension of de Rham Cohomology groups?

Published on 26 Mar 2026 - 7:34

List Question

Reference for Lie-algebra valued differential forms

Are these two definitions of exterior derivative equivalent?

Are Clifford algebras and differential forms equivalent frameworks for differential geometry?

Dimension of intersection of two manifold

Find a $1$-form whose exterior derivative is $2x^2y^2dydz +3xz^2dzdx - 4xy^2dxdy$

How is differential form different from ordinary calculus objects?

Chain rule and differential forms

Restricting the domain of an integral on a manifold

Sphere volume and generalized Stokes' theorem

Finding the winding number of a curve

Relating volume elements and metrics. Does a volume element + uniform structure induce a metric?

Is $\zeta=\frac{x dy \wedge dz+y dz \wedge dx+z dx \wedge dy}{r^3}$ exact in the complement of every line through the origin?

Use the Fundamental Theorem to deduce the formula for the area of an ellipse.

Use Fund Thm to evaluate the integral of $ ze^{x^2} dydz + 3ys dydz + (2-yz^7)dxdy $ over surface of the unit cube, except bottom face.

Dimension of de Rham Cohomology groups?

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