Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Isaev, Alexander.
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds [electronic resource] / by Alexander Isaev. - VIII, 144 p. online resource. - Lecture Notes in Mathematics, 1902 0075-8434 ; . - Lecture Notes in Mathematics, 1902 .
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.
9783540691532
10.1007/3-540-69151-0 doi
Differential equations, partial.
Several Complex Variables and Analytic Spaces.
QA331.7
515.94
Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds [electronic resource] / by Alexander Isaev. - VIII, 144 p. online resource. - Lecture Notes in Mathematics, 1902 0075-8434 ; . - Lecture Notes in Mathematics, 1902 .
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.
9783540691532
10.1007/3-540-69151-0 doi
Differential equations, partial.
Several Complex Variables and Analytic Spaces.
QA331.7
515.94