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|a 9783540691532
|9 978-3-540-69153-2
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|a 10.1007/3-540-69151-0
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|a 515.94
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|a Isaev, Alexander.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
|h [electronic resource] /
|c by Alexander Isaev.
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|a 1st ed. 2007.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2007.
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|a VIII, 144 p.
|b online resource.
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|a text
|b txt
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|a text file
|b PDF
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 1902
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|a The Homogeneous Case -- The Case d(M) = n2 -- The Case d(M) = n2 - 1, n ? 3 -- The Case of (2,3)-Manifolds -- Proper Actions.
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|a 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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|a Functions of complex variables.
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|a Several Complex Variables and Analytic Spaces.
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783540834403
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|i Printed edition:
|z 9783540691518
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|a Lecture Notes in Mathematics,
|x 1617-9692 ;
|v 1902
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|u https://doi.uam.elogim.com/10.1007/3-540-69151-0
|z Texto Completo
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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