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Geometry and Analysis Seminar

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 classif...

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Detalles Bibliográficos
Autor principal: Isaev, Alexander
Lenguaje:eng
Publicado: Springer 2007
Materias:
Acceso en línea:https://dx.doi.org/10.1007/3-540-69151-0
http://cds.cern.ch/record/1695978
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author Isaev, Alexander
author_facet Isaev, Alexander
author_sort Isaev, Alexander
collection CERN
description 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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spelling cern-16959782021-04-25T16:39:04Zdoi:10.1007/3-540-69151-0http://cds.cern.ch/record/1695978engIsaev, AlexanderGeometry and Analysis SeminarMathematical Physics and MathematicsKobayashi-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.Springeroai:cds.cern.ch:16959782007
spellingShingle Mathematical Physics and Mathematics
Isaev, Alexander
Geometry and Analysis Seminar
title Geometry and Analysis Seminar
title_full Geometry and Analysis Seminar
title_fullStr Geometry and Analysis Seminar
title_full_unstemmed Geometry and Analysis Seminar
title_short Geometry and Analysis Seminar
title_sort geometry and analysis seminar
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/3-540-69151-0
http://cds.cern.ch/record/1695978
work_keys_str_mv AT isaevalexander geometryandanalysisseminar