Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Isaev

Rok vydania: 2007

Vydavateľ: Springer

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O knihe:

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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Vydavateľstvo: Springer

Rok vydania: 2007

ISBN: 978-3-540-69151-8

(9783540691518)

Väzba: mäkká