Levi flat hypersurfaces in with prescribed boundary : stability
Eric Bedford (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Eric Bedford (1982)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Do Duc Thai (1991)
Annales Polonici Mathematici
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Abstract. The characterization of hyperbolic embeddability of relatively compact subspaces of a complex space in terms of extension of holomorphic maps from the punctured disc and of limit complex lines is given.
Apostolova, Lilia N. (2012)
Mathematica Balkanica New Series
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MSC 2010: 30C10, 32A30, 30G35 The algebra R(1; j; j2; j3), j4 = ¡1 of the fourth-R numbers, or in other words the algebra of the double-complex numbers C(1; j) and the corresponding functions, were studied in the papers of S. Dimiev and al. (see [1], [2], [3], [4]). The hyperbolic fourth-R numbers form other similar to C(1; j) algebra with zero divisors. In this note the square roots of hyperbolic fourth-R numbers and hyperbolic complex numbers are found. The quadratic equation...
R. Krasnodębski (1970)
Colloquium Mathematicae
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Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Grzegorz Boryczka, Luis Tovar (1996)
Banach Center Publications
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The authors are dealing with the Dirichlet integral-type biholomorphic-invariant pseudodistance introduced by Dolbeault and Ławrynowicz (1989) in connection with bordered holomorphic chains of dimension one. Several properties of the related hyperbolic-like manifolds are considered remarking the analogies with and differences from the familiar hyperbolic and Stein manifolds. Likewise several examples are treated in detail.
Nguyen Doan Tuan, Pham Viet Duc (2005)
Annales Polonici Mathematici
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We prove the invariance of hyperbolic imbeddability under holomorphic fiber bundles with compact hyperbolic fibers. Moreover, we show an example concerning the relation between the Kobayashi relative intrinsic pseudo-distance of a holomorphic fiber bundle and the one in its base.
C. A Morales (2008)
Annales de la faculté des sciences de Toulouse Mathématiques
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We use the theory of partially hyperbolic systems [HPS] in order to find singularities of index for vector fields with isolated zeroes in a -ball. Indeed, we prove that such zeroes exists provided the maximal invariant set in the ball is partially hyperbolic, with volume expanding central subbundle, and the strong stable manifolds of the singularities are unknotted in the ball.
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.
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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