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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

von Alexander Isaev
Softcover - 9783540691518
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Beschreibung

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.

Details

Verlag Springer Berlin
Ersterscheinung 09. Februar 2007
Maße 23.5 cm x 15.5 cm
Gewicht 248 Gramm
Format Softcover
ISBN-13 9783540691518
Seiten 144

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