Schottky-Landau growth estimates for s-normal families of holomorphic mappings.
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M.G. Zaidenberg (1992)
Mathematische Annalen
Sergey Ivashkovich, Alexandre Sukhov (2010)
Annales de l’institut Fourier
We establish the Schwarz Reflection Principle for -complex discs attached to a real analytic -totally real submanifold of an almost complex manifold with real analytic . We also prove the precise boundary regularity and derive the precise convergence in Gromov compactness theorem in -classes.
Sergey Ivashkovich, Jean-Pierre Rosay (2004)
Annales de l'Institut Fourier
The definition of the Kobayashi-Royden pseudo-metric for almost complex manifolds is similar to its definition for complex manifolds. We study the question of completeness of some domains for this metric. In particular, we study the completeness of the complement of submanifolds of co-dimension 1 or 2. The paper includes a discussion, with proofs, of basic facts in the theory of pseudo-holomorphic discs.
Naichung Conan Leung (1996)
Mathematische Annalen
Taubes, Clifford Henry (1999)
Geometry & Topology
Peter Orlik, Philip Wagreich (1975)
Inventiones mathematicae
Jixiang Fu, Zhizhang Wang, Damin Wu (2013)
Journal of the European Mathematical Society
In this paper, we generalize the Gauduchon metrics on a compact complex manifold and define the functions on the space of its hermitian metrics.
T. Kohno (1985)
Inventiones mathematicae
Junehyuk Jung (2014)
Journal of the European Mathematical Society
Let be a hyperbolic surface and let be a Laplacian eigenfunction having eigenvalue with . Let be the set of nodal lines of . For a fixed analytic curve of finite length, we study the number of intersections between and in terms of . When is compact and a geodesic circle, or when has finite volume and is a closed horocycle, we prove that is “good” in the sense of [TZ]. As a result, we obtain that the number of intersections between and is . This bound is sharp.
Andrew Swann (1997)
Banach Center Publications
Roger Bielawski (2017)
Complex Manifolds
We show that the regular Slodowy slice to the sum of two semisimple adjoint orbits of GL(n, ℂ) is isomorphic to the deformation of the D2-singularity if n = 2, the Dancer deformation of the double cover of the Atiyah-Hitchin manifold if n = 3, and to the Atiyah-Hitchin manifold itself if n = 4. For higher n, such slices to the sum of two orbits, each having only two distinct eigenvalues, are either empty or biholomorphic to open subsets of the Hilbert scheme of points on one of the above surfaces....
J.E. Fornaess, K. Diederich (1985)
Inventiones mathematicae
Fathi Haggui, Adel Khalfallah (2010)
Annales Polonici Mathematici
First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.
Wilson, P.M.H. (2006)
Experimental Mathematics
Kyong T. Hahn (1981)
Annales Polonici Mathematici
Nessim Sibony, Pit-Mann Wong (1981)
Annales Polonici Mathematici
Irena Hinterleitner, Volodymyr Kiosak (2010)
Archivum Mathematicum
This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.
J. Varouchas (1984)
Inventiones mathematicae
S. Subramanian (1991)
Mathematische Annalen
D. Burns, P. de Bartolomeis (1988)
Inventiones mathematicae
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