ENGLISH

Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds

By Alexander Isaev (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
9783540691518, 3540691510
DOI
10.1007/3-540-69151-0
ISSN
0075-8434
Open Library ID
OL9063516M
Language
english
Format
PDF
Filesize
2 MB (2118706 bytes)
Series
Lecture notes in mathematics 1902
Edition
1
Pages
144\148
Time added
2010-02-18 13:16:04
Several Complex Variables and Analytic Spaces

Description

Kobayashi-hyperbolic manifolds are an object of active research in complex geometry. In this monograph the author presents a coherent exposition of recent results on complete characterization of Kobayashi-hyperbolic manifolds with high-dimensional groups of holomorphic automorphisms. These classification results can be viewed as complex-geometric analogues of those known for Riemannian manifolds with high-dimensional isotropy groups, that were extensively studied in the 1950s-70s. The common feature of the Kobayashi-hyperbolic and Riemannian cases is the properness of the actions of the holomorphic automorphism group and the isometry group on respective manifolds.

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