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Some aspects of analysis on almost complex manifolds with boundary

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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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Authors and Affiliations

  1. C.M.I., 39, rue Joliot-Curie, 13453, Marseille Cedex 13, France

    Bernard Coupet

  2. I.M.J., 4, place Jussieu, 75252, Paris Cedex, France

    Hervé Gaussier

  3. U.S.T.L., Cité Scientifique, 59655, Villeneuve d´Ascq Cedex, France

    Alexandre Sukhov

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  1. Bernard Coupet
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  2. Hervé Gaussier
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  3. Alexandre Sukhov
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Correspondence to Bernard Coupet.

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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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Coupet, B., Gaussier, H. & Sukhov, A. Some aspects of analysis on almost complex manifolds with boundary. J Math Sci 154, 923–986 (2008). https://doi.org/10.1007/s10958-008-9202-4

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