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Increasing Sequences of Complex Manifolds.

John Eric Fornaess, Nessim Sibony (1981)

Mathematische Annalen

Index invariants of orbit spaces.

Richard Randell (1975)

Mathematica Scandinavica

Infinite geodesic rays in the space of Kähler potentials

Claudio Arezzo, Gang Tian (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this paper we prove the existence of solutions of a degenerate complex Monge-Ampére equation on a complex manifold. Applying our existence result to a special degeneration of complex structure, we show how to associate to a change of complex structure an infinite length geodetic ray in the space of potentials. We also prove an existence result for the initial value problem for geodesics. We end this paper with a discussion of a list of open problems indicating how to relate our reults to the...

Inner Carathéodory completeness of Reinhardt domains

Włodzimierz Zwonek (2001)

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

We give a description of bounded pseudoconvex Reinhardt domains, which are complete for the Carathéodory inner distance.

Intersections in hyperbolic manifolds.

Belegradek, Igor (1998)

Geometry & Topology

Intrinsic measures complex manifolds

I. Graham (1986)

Matematički Vesnik

Intrinsic Measures of Compact Complex Manifolds.

Shing Tung Yau (1974)

Mathematische Annalen

Intrinsic pseudo-volume forms for logarithmic pairs

Thomas Dedieu (2010)

Bulletin de la Société Mathématique de France

We study an adaptation to the logarithmic case of the Kobayashi-Eisenman pseudo-volume form, or rather an adaptation of its variant defined by Claire Voisin, for which she replaces holomorphic maps by holomorphic $K$ -correspondences. We define an intrinsic logarithmic pseudo-volume form $Φ_{X, D}$ for every pair $(X, D)$ consisting of a complex manifold $X$ and a normal crossing Weil divisor $D$ on $X$ , the positive part of which is reduced. We then prove that $Φ_{X, D}$ is generically non-degenerate when $X$ is projective and $K_{X} + D$ ...

Invariant meromorphic functions on Stein spaces

Daniel Greb, Christian Miebach (2012)

Annales de l’institut Fourier

In this paper we develop fundamental tools and methods to study meromorphic functions in an equivariant setup. As our main result we construct quotients of Rosenlicht-type for Stein spaces acted upon holomorphically by complex-reductive Lie groups and their algebraic subgroups. In particular, we show that in this setup invariant meromorphic functions separate orbits in general position. Applications to almost homogeneous spaces and principal orbit types are given. Furthermore, we use the main result...

Invariants of complex structures on nilmanifolds

Edwin Alejandro Rodríguez Valencia (2015)

Archivum Mathematicum

Let $(N, J)$ be a simply connected $2 n$ -dimensional nilpotent Lie group endowed with an invariant complex structure. We define a left invariant Riemannian metric on $N$ compatible with $J$ to be minimal, if it minimizes the norm of the invariant part of the Ricci tensor among all compatible metrics with the same scalar curvature. In [7], J. Lauret proved that minimal metrics (if any) are unique up to isometry and scaling. This uniqueness allows us to distinguish two complex structures with Riemannian data, giving...

Inviluppi di olomorfia e gruppi di coomologia di Hausdorff

Stefano Trapani (1986)

Rendiconti del Seminario Matematico della Università di Padova

Isometries of Intrinsic Metrics on Strictly Convex Domains.

P.-M. Wong, K-W. Leung, G. Patrizio (1987)

Mathematische Zeitschrift

Displaying 1 – 12 of 12

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