List questions from exterior-derivative

262

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How to find maximum value of the function $u(x,y)=x^2-y^2+x^2y^2$ and $\cfrac{\partial u}{\partial \nu}=?$

Published on 23 Feb 2026 - 6:24

377

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Exterior derivative of a $1$-form

Published on 23 Feb 2026 - 6:22

39

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Proving that $d\theta_{fX}=df.\theta_X+\theta_X.df+d(f\theta_X)$

Published on 23 Feb 2026 - 6:24

257

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interchanging limit and exterior derivative to prove $L_X(df) = d(L_Xf)$

Published on 23 Feb 2026 - 6:24

52

Views

Computing the pull-back with exterior derivative

Published on 23 Feb 2026 - 6:16

166

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Why is this wedge product equal to zero?

Published on 23 Feb 2026 - 6:18

2.5k

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example for calculation of the exterior derivative

Published on 23 Feb 2026 - 6:20

31

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Finding the dot product of 2-forms F and G?

Published on 23 Feb 2026 - 6:24

77

Views

Exterior derivative does only depend on vectors

Published on 23 Feb 2026 - 6:18

272

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Connection between exterior derivative of functions with differential of tangent vectors

Published on 23 Feb 2026 - 6:24

26

Views

Showing that $d\Phi =0$ for $\Phi=\sum_{i=1}^{k} a_{i}(\mathbf{x}) d x_{i}$

Published on 23 Feb 2026 - 6:21

93

Views

Geometric picture for the exterior derivative as measuring flow

Published on 23 Feb 2026 - 6:21

449

Views

Interpretation of the Laplacian in exterior calculus

Published on 23 Feb 2026 - 6:23

168

Views

Pullback of a complex one-form

Published on 23 Feb 2026 - 6:16

39

Views

3 dimensional Exterior Derivative

Published on 23 Feb 2026 - 6:16

List Question

How to find maximum value of the function $u(x,y)=x^2-y^2+x^2y^2$ and $\cfrac{\partial u}{\partial \nu}=?$

Exterior derivative of a $1$-form

Proving that $d\theta_{fX}=df.\theta_X+\theta_X.df+d(f\theta_X)$

interchanging limit and exterior derivative to prove $L_X(df) = d(L_Xf)$

Computing the pull-back with exterior derivative

Why is this wedge product equal to zero?

example for calculation of the exterior derivative

Finding the dot product of 2-forms F and G?

Exterior derivative does only depend on vectors

Connection between exterior derivative of functions with differential of tangent vectors

Showing that $d\Phi =0$ for $\Phi=\sum_{i=1}^{k} a_{i}(\mathbf{x}) d x_{i}$

Geometric picture for the exterior derivative as measuring flow

Interpretation of the Laplacian in exterior calculus

Pullback of a complex one-form

3 dimensional Exterior Derivative

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