Manifolds and Lie Groups

This volume is the collection of papers dedicated to Yozo Matsushima on his 60th birthday, which took place on February 11, 1980. A conference in Geometry in honor of Professor Matsushima was held at the University of Notre Dame on May 14 and 15, 1980. Some of the papers in this volume were delivered on this occasion. 0 00 0 - 15 S. Kobayashi, University 27 R. Ogawa, Loyola 42 P. Ryan, Indiana 1 W. Stoll 2 W. Kaup, University of of California at Berkeley University (Chicago) University at South Bend Tubing en 16 B. Y. Chen, 28 A. Howard 43 M. Kuga, SUNY at 3 G. Shimura, Michigan State University 29 D. Blair, Stony Brook Princeton University 17 G. Ludden, Michigan State University 44 W. Higgins 30 B. Smyth 4 A. Borel, Institute for Michigan State University 45 J. Curry Advanced Study 18 S. Harris, 31 A. Pradhan 46 D. Norris 32 R. Escobales, 5 Y. Matsushima University of Missouri 47 J. Spellecy Canisius College 6 Mrs. Matsushima 19 J. Beem, 48 M. Clancy 7 K. Nomizu, University of Missouri 33 L. Smiley 49 J. Rabinowitz, University 20 D. Collins, 34 C. H. Sung Brown University of Illinois at Chicago Valparaiso University 35 M. Markowitz 8 J. -1. Hano, 50 R. Richardson, Australian Washington University 36 A. Sommese 21 I. Satake, University of National University California at Berkeley 37 A. Vitter, 9 J. Carrell, University of 51 D. Lieberman, 22 H.

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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.