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Study Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics)

Posted on 2010-03-16




Name:Study Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics)
ASIN/ISBN:3540691510
Language:English
File size:3.3 Mb
Publish Date: 2007-03
ISBN: 3540691510
Pages: 144 pages
File Type: PDF
File Size: 3,3 MB
Other Info: Springer
   Study Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics)

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Alexander Isaev "Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics)"

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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