Work

Harmonic Hadamard Manifolds and Gauss Hypergeometric Differential Equations

Year: 2019

Type: article

Abstract: A new class of harmonic Hadamard manifolds, those spaces called hypergeometric type, is defined in terms of Gauss hypergeometric equations. A spherical Fourier transform defined on harmonic Hadamard manifolds of hypergeometric type admits an inversion formula. A characterization of the harmonic Hadamard manifold as of hypergeometric type is obtained with respect to volume density.

Source: Publications of the Research Institute for Mathematical Sciences

DOI: 10.4171/prims/55-3-3

Authors: Mitsuhiro Itoh, Hiroyasu Satoh

Institutions: University of Tsukuba, Nippon Institute of Technology

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Geometry of barycenter map on Hadamard manifolds admitting Busemann-Poisson kernel