Some aspects of analysis on almost complex manifolds with boundary |
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| Authors: | Bernard Coupet Hervé Gaussier Alexandre Sukhov |
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| Institution: | (1) C.M.I., 39, rue Joliot-Curie, 13453, Marseille Cedex 13, France;(2) I.M.J., 4, place Jussieu, 75252, Paris Cedex, France;(3) U.S.T.L., Cité Scientifique, 59655, Villeneuve d′Ascq Cedex, France |
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| Abstract: | We present some results dealing with the local geometry of almost complex manifolds. We establish mainly the complete hyperbolicity
of strictly pseudoconvex domains, the extension of plurisubharmonic functions through generic submanifolds, and the elliptic
regularity of some diffeomorphisms of almost complex manifolds with boundary.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 47, Complex
Analysis, 2007. |
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