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Pfaffian Form


A Pfaffian form on an open set in R^n is a differential one-form

 omega=sum_(i=1)^na_i(x)dx_i.

An equation of the form omega=0 is called a Pfaffian equation, and a collection of such equations is a Pfaffian system.


See also

Differential k-Form, One-Form, Pfaffian Equation, Pfaffian System

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References

Esteves, E. and Kleiman, S. L. "Bounding Solutions of Pfaff Equations." Comm. Algebra 31, 3771-3793, 2003. https://doi.org/10.1081/AGB-120022442.

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Pfaffian Form

Cite this as:

Weisstein, Eric W. "Pfaffian Form." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PfaffianForm.html

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