Geodesic
Stationary disks and Green functions in almost complex domains
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 4, pp. 975-1000

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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.

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Classification : 32Q60, 32Q65, 32U35, 32G05 
@article{ASNSP_2013_5_12_4_975_0,
     author = {Patrizio, Giorgio and Spiro, Andrea},
     title = {Stationary disks and {Green} functions  in almost complex domains},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {975--1000},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 12},
     number = {4},
     year = {2013},
     mrnumber = {3184576},
     zbl = {1295.32040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ASNSP_2013_5_12_4_975_0/}
}
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Patrizio, Giorgio; Spiro, Andrea. Stationary disks and Green functions  in almost complex domains. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 12 (2013) no. 4, pp. 975-1000. http://geodesic.mathdoc.fr/item/ASNSP_2013_5_12_4_975_0/