Real analytic maximum modulus manifolds in strictly pseudoconvex boundaries
Andrei Iordan (1995)
Banach Center Publications
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Andrei Iordan (1995)
Banach Center Publications
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Hervé Gaussier, Alexandre Sukhov (2011)
Annales de la faculté des sciences de Toulouse Mathématiques
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Let be a manifold with an almost complex structure tamed by a symplectic form . We suppose that has the complex dimension two, is Levi-convex and with bounded geometry. We prove that a real two-sphere with two elliptic points, embedded into the boundary of can be foliated by the boundaries of pseudoholomorphic discs.
Franc Forstneric (1987)
Annales de l'institut Fourier
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Let be a two dimensional totally real submanifold of class in . A continuous map of the closed unit disk into that is holomorphic on the open disk and maps its boundary into is called an analytic disk with boundary in . Given an initial immersed analytic disk with boundary in , we describe the existence and behavior of analytic disks near with boundaries in small perturbations of in terms of the homology class of the closed curve in . We also prove a regularity...
Josip Globevnik (1996)
Annales de l'institut Fourier
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Integers are the partial indices of an analytic disc attached to a maximally real submanifolds of if and only if for at least one . If this is the case there are a Lagrangian submanifold of and an analytic disc attached to with partial indices .
Mirjana Djorić, Masafumi Okumura (2002)
Banach Center Publications
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The aim of this paper is to investigate n-dimensional real submanifolds of complex manifolds in the case when the maximal holomorphic tangent space is (n-1)-dimensional. In particular, we give some examples and we consider the Levi form on these submanifolds, especially when the ambient space is a complex space form. Moreover, we show that on some remarkable class of real hypersurfaces of complex space forms, the Levi form cannot vanish identically.
M. Sato (1972-1973)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Bang-Yen Chen, Wei-Eihn Kuan (1985)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Franc Forstnerič (2004)
Annales de l’institut Fourier
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We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.