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arXiv · 1808.00625

Harmonic Hadamard manifolds and Gauss hypergeometric differential equations

Mitsuhiro Itoh·Hiroyasu Satoh
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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.

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Mitsuhiro Itoh, Hiroyasu Satoh. 2018-08-02. Harmonic Hadamard manifolds and Gauss hypergeometric differential equations. https://arxiv.org/abs/1808.00625

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