Math 2.0

Global analysis, analysis on manifolds Concept

Closed and exact forms

Builds on Exterior derivativeDifferential form

Summary

A differential form is closed if its exterior derivative is zero, and exact if it is the exterior derivative of another form. Each exact form is closed. Whether each closed form is exact depends on the shape of the domain, so these notions detect holes in the domain.

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Differential form, concept, no evidence levelDifferential formconceptExterior derivative, concept, no evidence levelExterior derivativeconceptClosed and exact forms, concept, no evidence levelClosed and exact formsconcept
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  1. Differential form concept
  2. Exterior derivative concept
  3. Closed and exact forms concept

Where this leads

8 pages build on this one.

Further reading

  1. Web https://en.wikipedia.org/wiki/Closed_and_exact_differential_forms, lead section
About this page
Tag0ZV14XRNF0
URIm2://0ZV14XRNF0
Kindconcept
WritingW0 stub
MSC58A12
UsesExterior derivative, Differential form
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