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刊物类别:Mathematics and Statistics
刊物主题:Mathematics Differential Geometry Convex and Discrete Geometry Fourier Analysis Abstract Harmonic Analysis Dynamical Systems and Ergodic Theory Global Analysis and Analysis on Manifolds
出版者:Springer New York
ISSN:1559-002X
文摘
On non-compact harmonic manifolds we prove that functions satisfying the mean value property for two generic radii must be harmonic. Moreover, functions with vanishing integrals over all spheres (or balls) of two generic radii must be identically zero. We also prove results about the Cheeger constant and the heat kernel.