Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds [electronic resource] / by Alexander Isaev.
Material type: TextSeries: Lecture Notes in Mathematics ; 1902Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Description: VIII, 144 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540691532Subject(s): Mathematics | Differential equations, partial | Mathematics | Several Complex Variables and Analytic SpacesAdditional physical formats: Printed edition:: No titleDDC classification: 515.94 LOC classification: QA331.7Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
IMSc Library | IMSc Library | Link to resource | Available | EBK1798 |
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.
There are no comments on this title.