Complex analytic geometry of complex parallelizable manifolds
Jörg Winkelmann (1998)
Mémoires de la Société Mathématique de France
Birkenhake, Christina (1998)
Journal of Lie Theory
Andrew John Sommese (1978)
Mathematische Annalen
Bernd Stratmann (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Ralf Lehmann (1989)
Annales de l'institut Fourier
A compact complex space is called complex-symmetric with respect to a subgroup of the group , if each point of is isolated fixed point of an involutive automorphism of . It follows that is almost -homogeneous. After some examples we classify normal complex-symmetric varieties with reductive. It turns out that is a product of a Hermitian symmetric space and a compact torus embedding satisfying some additional conditions. In the smooth case these torus embeddings are classified using...
J. Hilgert, K.-H. Neeb, Bent Orsted (1996)
Journal für die reine und angewandte Mathematik
L. L. Stachó (2008)
Studia Mathematica
As a natural extension of bounded complete Reinhardt domains in to spaces of continuous functions, continuous Reinhardt domains (CRD) are bounded open connected solid sets in commutative C*-algebras with respect to the natural ordering. We give a complete parametric description for the structure of holomorphic isomorphisms between CRDs and characterize the partial Jordan triple structures which can be associated with some CRDs. On the basis of these results, we test two conjectures concerning...
Andrew John Sommese, James B. Carrell (1983)
Mathematica Scandinavica
Kyong T. Hahn (1975)
Journal für die reine und angewandte Mathematik
A. Korányi, F. Stein (1973)
Studia Mathematica
E. GOTTSCHLING (1969)
Inventiones mathematicae
Camilla Horst (1985)
Mathematische Annalen
Jun-Muk Hwang, Ngaiming Mok (2002)
Annales scientifiques de l'École Normale Supérieure
Jean-Louis Cathelineau (1978)
Annales scientifiques de l'École Normale Supérieure
Tatsuo Suwa (1979)
Mathematische Annalen
Tatsuo Suwa (1979)
Inventiones mathematicae
Jaume Amorós, Mònica Manjarín, Marcel Nicolau (2012)
Journal of the European Mathematical Society
We study compact Kähler manifolds admitting nonvanishing holomorphic vector fields, extending the classical birational classification of projective varieties with tangent vector fields to a classification modulo deformation in the Kähler case, and biholomorphic in the projective case. We introduce and analyze a new class of , and show that they form a smooth subspace in the Kuranishi space of deformations of the complex structure of . We extend Calabi’s theorem on the structure of compact Kähler...
Carlos Moreno, Pilar Ortega-Navarro (1983)
Annales de l'I.H.P. Physique théorique
Janusz Grabowski (1981)
Compositio Mathematica
José M. Isidro, W. Kaup (1993)
Manuscripta mathematica