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Integral Geometric Properties of Non-compact Harmonic Spaces

Peyerimhoff, Norbert; Samiou, Evangelia

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Authors

Evangelia Samiou



Abstract

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.

Citation

Peyerimhoff, N., & Samiou, E. (2015). Integral Geometric Properties of Non-compact Harmonic Spaces. Journal of Geometric Analysis, 25(1), Article 122. https://doi.org/10.1007/s12220-013-9416-7

Journal Article Type Article
Acceptance Date Mar 11, 2013
Online Publication Date Apr 12, 2013
Publication Date Jan 1, 2015
Deposit Date Jan 6, 2016
Publicly Available Date Mar 28, 2024
Journal Journal of Geometric Analysis
Print ISSN 1050-6926
Electronic ISSN 1559-002X
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 25
Issue 1
Article Number 122
DOI https://doi.org/10.1007/s12220-013-9416-7
Related Public URLs http://arxiv.org/pdf/1210.3957v1.pdf

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