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Displaying 161 – 180 of 607

On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds

Irena Hinterleitner, Josef Mikeš (2013)

Archivum Mathematicum

In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.

On holomorphically separable complex solv-manifolds

Alan T. Huckleberry, E. Oeljeklaus (1986)

Annales de l'institut Fourier

Let $G$ be a solvable complex Lie group and $H$ a closed complex subgroup of $G$ . If the global holomorphic functions of the complex manifold $X : G / H$ locally separate points on $X$ , then $X$ is a Stein manifold. Moreover there is a subgroup $\hat{H}$ of finite index in $H$ with $π_{1} (G / \hat{H})$ nilpotent. In special situations (e.g. if $H$ is discrete) $H$ normalizes $\hat{H}$ and $H / \hat{H}$ is abelian.

On homological index

Bahman Khanedani (2000)

Annales de la Faculté des sciences de Toulouse : Mathématiques

On horospheres and holomorphic endomorfisms of the Siegel disc

Giovanni Bassanelli (1983)

Rendiconti del Seminario Matematico della Università di Padova

On hulls of meromorphy and a class of Stein manifolds

Mihnea Colţoiu (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On hyper f-structures.

Gerardo Hernandez (1996)

Mathematische Annalen

On hypersurface singularities which are stems

Ruud Pellikaan (1989)

Compositio Mathematica

On ideals generated by bounded analytic functions in the bidisc

Urban Cegrell (1993)

Bulletin de la Société Mathématique de France

On improper isolated intersection in complex analytic geometry

R. Achilles, P. Tworzewski, T. Winiarski (1990)

Annales Polonici Mathematici

On Integral Representations and a priori Lipschitz Estimates for the Canonical Solution of the ...-Equation.

Ingo Lieb, R.Michael Range (1983)

Mathematische Annalen

On invariant domains in certain complex homogeneous spaces

Xiang-Yu Zhou (1997)

Annales de l'institut Fourier

Given a compact connected Lie group $K$ . For a relatively compact $K$ -invariant domain $D$ in a Stein $K^{ℂ}$ -homogeneous space, we prove that the automorphism group of $D$ is compact and if $K$ is semisimple, a proper holomorphic self mapping of $D$ is biholomorphic.

On invariant domains of holomorphy

A. Sergeev (1995)

Banach Center Publications

On irreducible components of a Weierstrass-type variety

Romuald A. Janik (1997)

Annales Polonici Mathematici

We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.

On irregular links at infinity of algebraic plane curves.

Walter D. Neumann, Le Van Thanh (1993)

Mathematische Annalen

On Isolated Gorenstein Singularities.

Shihoko Ishii (1985)

Mathematische Annalen

On isometries of the carathéodory and Kobayashi metrics on strongly pseudoconvex domains

Harish Seshadri (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Let $Ω_{1}$ and $Ω_{2}$ be $strongly pseudoconvex$ domains in $ℂ^{n}$ and $f : Ω_{1} \to Ω_{2}$ an isometry for the Kobayashi or Carathéodory metrics. Suppose that $f$ extends as a $C^{1}$ map to ${\bar{Ω}}_{1}$ . We then prove that ${f |}_{\partial Ω_{1}} : \partial Ω_{1} \to \partial Ω_{2}$ is a CR or anti-CR diffeomorphism. It follows that $Ω_{1}$ and $Ω_{2}$ must be biholomorphic or anti-biholomorphic.

On isometries of the Kobayashi and Carathéodory metrics

Prachi Mahajan (2012)

Annales Polonici Mathematici

This article considers C¹-smooth isometries of the Kobayashi and Carathéodory metrics on domains in ℂⁿ and the extent to which they behave like holomorphic mappings. First we provide an example which suggests that 𝔹ⁿ cannot be mapped isometrically onto a product domain. In addition, we prove several results on continuous extension of C⁰-isometries f : D₁ → D₂ to the closures under purely local assumptions on the boundaries. As an application, we show that there is no C⁰-isometry between a strongly...

On isomorphisms of Bers fiber spaces.

Zhang, Chaohui (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

On iterates of holomorphic maps.

Daowei Ma (1991)

Mathematische Zeitschrift

On iterations of Green type integrals for matrix factorizations of the Laplace operator

Alexandre A. Shlapunov (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Convergence of special Green integrals for matrix factorization of the Laplace operator in $R^{n}$ is proved. Explicit formulae for solutions of $\bar{\partial}$ -equation in strictly pseudo-convex domains in $C^{n}$ are obtained.

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