Alexander Isaev

Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1902
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 11963370, 978-3-540-69151-8
• 2007
• Seitenzahl: 156
• Erscheinungstermin: 9. Februar 2007
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 268g
• ISBN-13: 9783540691518
• ISBN-10: 3540691510
• Artikelnr.: 22511656

Autorenporträt

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.

Inhaltsangabe

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