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-Ampère equation. This research was partially supported by INdAM.

Stationary disks and Green functions in almost complex domains / G. Patrizio; A. Spiro. - In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE. - ISSN 0391-173X. - STAMPA. - XII:(2013), pp. 975-1000. [10.2422/2036-2145.201103_011]

Stationary disks and Green functions in almost complex domains

PATRIZIO, GIORGIO;
2013

Abstract

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-Ampère equation. This research was partially supported by INdAM.
2013
XII
975
1000
G. Patrizio; A. Spiro
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/597608
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