Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Başlık:
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
ISBN:
9783540691532
Personal Author:
Edition:
1st ed. 2007.
Yayın Bilgileri:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Fiziksel Tanımlama:
VIII, 144 p. online resource.
Series:
Lecture Notes in Mathematics, 1902
Contents:
The Homogeneous Case -- The Case d(M) = n2 -- The Case d(M) = n2 - 1, n ? 3 -- The Case of (2,3)-Manifolds -- Proper Actions.
Abstract:
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.
Ek Kurum Yazarı:
Dil:
English