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Geometry and Analysis on Manifolds [electronic resource] : Proceedings of the 21st International Taniguchi Symposium held at Katata, Japan, Aug. 23–29 and the Conference held at Kyoto, Aug. 31–Sept. 2, 1987 / edited by Toshikazu Sunada.

Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1339Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988Description: XII, 284 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540459309
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 516.36 23
LOC classification:
  • QA641-670
Online resources:
Contents:
L2harmonic forms on complete Riemannian manifolds -- Ricci-flat Kähler metrics on affine algebraic manifolds -- On the multiplicy of the eigenvalues of the Laplacian -- Riemann surfaces of large genus and large ?1 -- Cayley graphs and planar isospectral domains -- On the almost negatively curved 3-sphere -- Vanishing theorems for tensor powers of a positive vector bundle -- Decay of eigenfunctions on Riemannian manifolds -- Stability and negativity for tangent sheaves of minimal Kähler spaces -- An obstruction class and a representation of holomorphic automorphisms -- Tensorial ergodicity of geodesic flows -- Harmonic functions with growth conditions on a manifold of asymptotically nonnegative curvature I -- Density theorems for closed orbits -- L2-Index and resonances -- Approximation of Green's function in a region with many obstacles -- Lower bounds of the essential spectrum of the Laplace-Beltrami operator and its application to complex geometry -- Fundamental groups and Laplacians.
In: Springer eBooksSummary: 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.
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L2harmonic forms on complete Riemannian manifolds -- Ricci-flat Kähler metrics on affine algebraic manifolds -- On the multiplicy of the eigenvalues of the Laplacian -- Riemann surfaces of large genus and large ?1 -- Cayley graphs and planar isospectral domains -- On the almost negatively curved 3-sphere -- Vanishing theorems for tensor powers of a positive vector bundle -- Decay of eigenfunctions on Riemannian manifolds -- Stability and negativity for tangent sheaves of minimal Kähler spaces -- An obstruction class and a representation of holomorphic automorphisms -- Tensorial ergodicity of geodesic flows -- Harmonic functions with growth conditions on a manifold of asymptotically nonnegative curvature I -- Density theorems for closed orbits -- L2-Index and resonances -- Approximation of Green's function in a region with many obstacles -- Lower bounds of the essential spectrum of the Laplace-Beltrami operator and its application to complex geometry -- Fundamental groups and Laplacians.

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.

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