Alexander Isaev

Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds (eBook, PDF)

• Format: PDF

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 144
• Erscheinungstermin: 11. März 2007
• Englisch
• ISBN-13: 9783540691532
• Artikelnr.: 44127847

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.