Geometry and Analysis on Manifolds : Proceedings of the 21st International Taniguchi Symposium Held at Katata, Japan, Aug. 23-29 and the Conference Held at Kyoto, Aug. 31 - Sep. 2, 1987

The Taniguchi Symposium On Global Analysis On Manifolds Focused Mainly On The Relationships Between Some Geometric Structures Of Manifolds And Analysis, Especially Spectral Analysis On Noncompact Manifolds. Included In The Present Volume Are Expanded Versions Of Most Of The Invited Lectures. In These Original Research Articles, The Reader Will Find Up-to Date Accounts Of The Subject. From The Contents: M.t. Anderson: L2-harmonic Forms On Complete Riemannian Manifolds -- S. Bando, R. Kobayashi: Ricci-flat Kähler Metrics On Affine Algebraic Manifolds -- G. Besson: On The Multiplicity Of Eigenvalues Of The Laplacian -- P. Buser, M. Burger, J. Dodziuk: Riemann Surfaces Of Large Genus And Large 1 -- J.-p. Demailly: Vanishing Theorems For Tensor Powers Of A Positive Vector Bundle -- H. Donnelly: Decay Of Eigenfunctions On Riemannian Manifolds -- M. Kanai: Tensorial Ergodicity Of Geodesic Flows -- W. Müller: L2-index And Resonances -- S. Ozawa: Approximation Of Green's Function In A Region With Many Obstacles. T. Sunada (ed.). Includes Bibliographies. Annotation The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject