Poincaré–Lelong Equation
   HOME

TheInfoList



OR:

In mathematics, the Poincaré–Lelong equation, studied by , is the partial differential equation :i\partial\overline\partial u=\rho on a
Kähler manifold In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure. The concept was first studied by Jan Arn ...
, where ρ is a
positive Positive is a property of positivity and may refer to: Mathematics and science * Positive formula, a logical formula not containing negation * Positive number, a number that is greater than 0 * Plus sign, the sign "+" used to indicate a posi ...
(1,1)-form.


References

* * Complex manifolds Partial differential equations {{analysis-stub