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If $\omega=x dy - y dx$ is a $1$-form, how do I compute $d\omega$?

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#real-analysis #vector-analysis #differential-forms
94
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What is $\int_\gamma \frac{x\,dy-y\,dx}{x^2+y^2}?$

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#calculus #vector-analysis #differential-forms #parametrization #greens-theorem
261
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cohomologous of a differential forms

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#differential-forms
169
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Horizontal Submanifolds of Maximal Dimension

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#smooth-manifolds #differential-forms #vector-fields #submanifold
112
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Differential form on $\mathbb R\mathbb P^2$

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#smooth-manifolds #differential-forms #de-rham-cohomology
245
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Every differential 2-form is exact

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#differential-forms #de-rham-cohomology
1.9k
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Surface integral via differential forms

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#integration #differential-geometry #differential-forms
207
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Differential of complex-valued 1-form

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#complex-analysis #differential-forms
40
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Convert any integration region to a rectangle

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#integration #differential-forms
43
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Help with computing a differential form.

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#differential-geometry #differential-forms
81
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Differential equation problem, how to solve such types?

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#ordinary-differential-equations #differential-forms
638
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Is every 2D vector field locally integrable up to a rescaling?

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#differential-geometry #partial-differential-equations #differential-forms #vector-fields #integrating-factor
41
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What can be said about two expressions of a 1-form?

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#differential-geometry #differential-forms #plane-curves
154
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Is the space of exact forms modulo exact forms whose anti-derivatives vanish on the boundary finite dimensional?

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#differential-geometry #differential-topology #smooth-manifolds #differential-forms
648
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What are sufficient conditions for a vector field to be a multiple of a gradient?

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#differential-geometry #differential-forms #vector-fields

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