Isaev Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

Erscheinungsjahr 2007
ISBN: 978-3-540-69153-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1902, 144 Seiten, eBook

Reihe: 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.

Zielgruppe

Research

Autoren/Hrsg.

Isaev, Alexander

Inhaltsverzeichnis

The Homogeneous Case.- The Case d(M) = n2.- The Case d(M) = n2 - 1, n ? 3.- The Case of (2,3)-Manifolds.- Proper Actions.

Über Autor(innen)

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.