Integral Geometric Properties of Non-compact Harmonic Spaces
(2013)
Journal Article
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
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 zer... Read More about Integral Geometric Properties of Non-compact Harmonic Spaces.