Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian
Differential Geometry
2018-03-14 v1
Abstract
The space forms, the complex hyperbolic spaces and the quaternionic hyperbolic spaces are characterized as the harmonic manifolds with specific radial eigenfunctions of the Laplacian.
Keywords
Cite
@article{arxiv.1707.05098,
title = {Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian},
author = {Jaigyoung Choe and Sinhwi Kim and JeongHyeong Park},
journal= {arXiv preprint arXiv:1707.05098},
year = {2018}
}
Comments
8 pages