02725nam 2200637 450 991048428270332120220819062153.01-280-80490-497866108049003-540-69153-710.1007/3-540-69151-0(CKB)1000000000282849(EBL)3036575(SSID)ssj0000190881(PQKBManifestationID)11168188(PQKBTitleCode)TC0000190881(PQKBWorkID)10183666(PQKB)11573915(DE-He213)978-3-540-69153-2(MiAaPQ)EBC3036575(MiAaPQ)EBC6812223(Au-PeEL)EBL6812223(OCoLC)1135383201(PPN)123159393(EXLCZ)99100000000028284920220819d2007 uy 0engur|n|---|||||txtccrLectures on the automorphism groups of Kobayashi-hyperbolic manifolds /Alexander Isaev1st ed. 2007.Berlin ;Heidelberg ;New York :Springer,[2007]©20071 online resource (148 p.)Lecture notes in mathematics (Springer-Verlag) ;1902Description based upon print version of record.3-540-69151-0 Includes bibliographical references and index.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.Lecture notes in mathematics (Springer-Verlag) ;1902.Hyperbolic spacesAutomorphismsHyperbolic spaces.Automorphisms.516.9Isaev Alexander284214MiAaPQMiAaPQMiAaPQBOOK9910484282703321Lectures on the automorphism groups of Kobayashi-hyperbolic manifolds230599UNINA