Harmonic Hadamard manifolds and Gauss hypergeometric differential equations
Differential Geometry
2018-08-03 v1
Abstract
A new class of harmonic Hadamard manifolds, those spaces called of hypergeometric type, is defined in terms of Gauss hypergeometric equations. Spherical Fourier transform defined on a harmonic Hadamard manifold of hypergeometric type admits an inversion formula. A characterization of harmonic Hadamard manifold being of hypergeometric type is obtained with respect to volume density.
Cite
@article{arxiv.1808.00625,
title = {Harmonic Hadamard manifolds and Gauss hypergeometric differential equations},
author = {Mitsuhiro Itoh and Hiroyasu Satoh},
journal= {arXiv preprint arXiv:1808.00625},
year = {2018}
}
Comments
33 pages. To appear in Publications of the Research Institute for Mathematical Sciences (Publ.RIMS)