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[DOWNLOAD] "Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds" by Alexander Isaev " Book PDF Kindle ePub Free

Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds

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eBook details

  • Title: Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
  • Author : Alexander Isaev
  • Release Date : January 11, 2007
  • Genre: Mathematics,Books,Science & Nature,
  • Pages : * pages
  • Size : 4757 KB

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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