Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds
Alexander Isaev.
Bok Engelsk 2007 · Electronic books.
| Omfang | 1 online resource (148 p.)
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| Utgave | 1st ed. 2007.
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| Opplysninger | Description based upon print version of record.. - The Homogeneous Case -- The Case d(M) = n2 -- The Case d(M) = n2 - 1, n ? 3 -- The Case of (2,3)-Manifolds -- Proper Actions.. - 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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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 1-280-80490-4. - 3-540-69153-7. - 9786610804900
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