Manifolds and Lie Groups

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Klappentext

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Inhalt

On Some Generalization of B. Kostant's Partition Function.- Stable Real Cohomology of Arithmetic Groups II.- Vector Fields and Cohomology of G/B.- A Simple Proof of Frobenius Theorem.- On Flat Surfaces in S31 and H31.- The Complex Laplace-Beltrami Operator Canonically Associated to a Polarized Abelian Variety.- On the Orders of the Automorphism Groups of Certain Projective Manifolds.- Homogeneous Spaces from a Complex Analytic Viewpoint.- On Lie Algebras Generated by Two Differential Operators.- Conformally-Flatness and Static Space-Time.- Holomorphic Structures Modeled After Compact Hermitian Symmetric Spaces.- Group Cohomology and Hecke Operators.- On Poisson Brackets of Semi-Invariants.- Some Stabilities of Group Automorphisms.- A Note on Cohomology Groups of Holomorphic Line Bundles over a Complex Torus.- Periodic Points on Nilmanifolds.- Isogenies and Congruence Subgroups.- On Compact Einstein Kähler Manifolds with Abundant Holomorphic Transformations.- Special Values of Zeta Functions Associated with Self-Dual Homogeneous Cones.- Hessian Manifolds and Convexity.- Intrinsic Characterization of Affine Algebraic Cones.- The Tannaka Duality Theorem for Semisimple Lie Groups and the Unitarian Trick.- Parallel Submanifolds of Space Forms.- On Hessian Structures on an Affine Manifold.