Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (Lecture Notes in Mathematics): 1902 - Softcover

Isaev, Alexander

Softcover

ISBN 10: 3540691510 ISBN 13: 9783540691518

Verlag: Springer, 2007

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Alexander Isaev is a Reader at the Australian National University, Canberra. After completing a PhD degree in 1990 at the Moscow State University, he taught at the University of Illinois (Urbana-Champaign) and at Chalmers University of Technology, Göteborg, Sweden.

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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 zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2007
• Sprache: Englisch
• ISBN 10: 3540691510
• ISBN 13: 9783540691518
• Einband: Tapa blanda
• Anzahl der Seiten: 156
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland