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In mathematics, the '''Poincaré–Lelong equation''', studied by {{harvs|txt|last=Lelong|authorlink=Pierre Lelong|year=1964}}, is the [[partial differential equation]]
:<math>i\partial\overline\partial u=\rho</math>
on a [[Kähler manifold]], where ρ is a positive (1,1)-form.
 
==References==
*{{Citation | last2=Siu | first2=Yum Tong | last1=Mok | first1=Ngaiming | authorlink3=Shing-Tung Yau | last3=Yau | first3=Shing Tung | title=The Poincaré–Lelong equation on complete Kähler manifolds | url=http://www.numdam.org/item?id=CM_1981__44_1-3_183_0 | id={{MR|662462}} | year=1981 | journal=Compositio Mathematica | issn=0010-437X | volume=44 | issue=1 | pages=183–218}}
*{{Citation | last1=Lelong | first1=Pierre | title=Fonctions entières (n variables) et fonctions plurisousharmoniques d'ordre fini dans C<sup>n</sup> | id={{MR|0166391}} | year=1964 | journal=Journal d'Analyse Mathématique | issn=0021-7670 | volume=12 | pages=365–407}}
 
{{DEFAULTSORT:Poincare-Lelong equation}}
[[Category:Complex manifolds]]
[[Category:Partial differential equations]]

Revision as of 23:53, 31 March 2013

Template:Underlinked

In mathematics, the Poincaré–Lelong equation, studied by Template:Harvs, is the partial differential equation

on a Kähler manifold, where ρ is a positive (1,1)-form.

References

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