Integral Geometric Properties of Non-compact Harmonic Spaces
Date
2013ISSN
1050-6926Source
Journal of Geometric AnalysisVolume
25Issue
1Pages
122-148Google Scholar check
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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. © 2013, Mathematica Josephina, Inc.