Holomorphic Maps of Compact Riemann Surfaces Into 2-Dimensional Compact C-Hyperbolic Manifolds.
Yoichi Imayoshi (1985)
Mathematische Annalen
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Displaying similar documents to “A note on holomorphic mappings with two fixed points”
Holomorphic Maps of Compact Riemann Surfaces Into 2-Dimensional Compact C-Hyperbolic Manifolds.
Fixed points of holomorphic mappings in the Hilbert ball
T. Kuczumow (1988)
Colloquium Mathematicae
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Hyperbolic Fourth-R Quadratic Equation and Holomorphic Fourth-R Polynomials
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...
The holomorphic contractibility of two generalized Teichmüller spaces.
Earle, Clifford J. (2004)
Publications de l'Institut Mathématique. Nouvelle Série
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Some remarks on the Nevanlinna theory of holomorphic mappings of Riemann surfaces
Alois Klíč (1980)
Časopis pro pěstování matematiky
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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.
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Alois Klíč (1980)
Časopis pro pěstování matematiky
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Topological Pressure for One-Dimensional Holomorphic Dynamical Systems
Katrin Gelfert, Christian Wolf (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
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For a class of one-dimensional holomorphic maps f of the Riemann sphere we prove that for a wide class of potentials φ the topological pressure is entirely determined by the values of φ on the repelling periodic points of f. This is a version of a classical result of Bowen for hyperbolic diffeomorphisms in the holomorphic non-uniformly hyperbolic setting.
The theorem of Forelli for holomorphic mappings into complex spaces
Pham Ngoc Mai, Do Duc Thai, Le Tai Thu (2004)
Annales Polonici Mathematici
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Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.
Moduli spaces of holomorphic mappings into hyperbolically imbedded complex spaces and locally symmetric spaces.
Junjiro Noguchi (1988)
Inventiones mathematicae
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Proper holomorphic self-mappings of the symmetrized bidisc
Armen Edigarian (2004)
Annales Polonici Mathematici
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We characterize proper holomorphic self-mappings 𝔾₂ → 𝔾₂ for the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂): |λ₁|,|λ₂| < 1} ⊂ ℂ².
Recent developments in the theory of separately holomorphic mappings
Viêt-Anh Nguyên (2009)
Colloquium Mathematicae
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We describe a part of the recent developments in the theory of separately holomorphic mappings between complex analytic spaces. Our description focuses on works using the technique of holomorphic discs.
The Łojasiewicz exponent of c-holomorphic mappings
Maciej P. Denkowski (2005)
Annales Polonici Mathematici
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The aim of this paper is to study the Łojasiewicz exponent of c-holomorphic mappings. After introducing an order of flatness for c-holomorphic mappings we give an estimate of the Łojasiewicz exponent in the case of isolated zero, which is a generalization of the one given by Płoski and earlier by Chądzyński for two variables.
Riemann solution for hyperbolic equations with discontinuous coefficients
Remaki, L.
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This paper deals with a Riemann solution for scalar hyperbolic equations with discontinuous coefficients. In many numerical schemes of Godunov type in fluid dynamics, electromagnetic and so on, usually hyperbolic problems are solved to estimate fluxes. The exact solution is generally difficult to obtain, but good approximations are provided in many situations like Roe and HLLC Riemann solvers in fluid. However all these solvers assumes that the acoustic waves speeds are continuous which...