Peyerimhoff, Norbert and Samiou, Evangelia (2015) 'Integral geometric properties of non-compact harmonic spaces.', The journal of geometric analysis., 25 (1). p. 122.
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.
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1007/s12220-013-9416-7|
|Publisher statement:||The final publication is available at Springer via http://dx.doi.org/10.1007/s12220-013-9416-7|
|Date accepted:||11 March 2013|
|Date deposited:||30 March 2016|
|Date of first online publication:||12 April 2013|
|Date first made open access:||No date available|
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