Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Springer Berlin (Verlag)
978-3-540-69151-8 (ISBN)
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.
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.
The Homogeneous Case.- The Case d(M) = n2.- The Case d(M) = n2 - 1, n ? 3.- The Case of (2,3)-Manifolds.- Proper Actions.
| Erscheint lt. Verlag | 9.2.2007 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | VIII, 144 p. With online files/update. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 247 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Algebraische Geometrie • Automorphism groups • complex manifolds • Group actions • Kobayashi-Hyperbolicity • manifold |
| ISBN-10 | 3-540-69151-0 / 3540691510 |
| ISBN-13 | 978-3-540-69151-8 / 9783540691518 |
| Zustand | Neuware |
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