Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Alexander Isaev

ISBN 10: 3540691510 / ISBN 13: 9783540691518

Edité par Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 2007, 2007

A propos de cet article

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 156 pp. Englisch.

N° de réf. du vendeur 9783540691518

Détails bibliographiques

• Titre: Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
• Éditeur: Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 2007
• Date de parution: 2007
• Langue: anglais
• ISBN à 10 chiffres: 3540691510
• ISBN à 13 chiffres: 9783540691518
• Reliure: Taschenbuch
• État de l'article: Neu

A propos de ce titre

Synopsis

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.

À propos de l?auteur

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.