Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian
arXiv:1707.05098 · doi:10.1016/j.geomphys.2018.01.002
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.
8 pages