Stationary disks and Green functions in almost complex domains

Details Stationary disks and Green functions in almost complex domains Stationary disks and Green functions in almost complex domains

2011-03-28

arxiv.org/abs/1103.5383v1

Mathematics

Complex Variables

25 pages

Scientific paper

Using generalized Riemann maps, normal forms for almost complex domains (D,
J) with singular foliations by stationary disks are defined. Such normal forms
are used to construct counterexamples and to determine intrinsic conditions,
under which the stationary disks are extremal disks for the Kobayashi metric or
determine solutions to almost complex Monge-Ampere equation.

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