调和Hadamard流形与高斯超几何微分方程

IF 1.1 2区数学 Q1 MATHEMATICS

Publications of the Research Institute for Mathematical Sciences Pub Date : 2018-08-02 DOI:10.4171/PRIMS/55-3-3

M. Itoh, H. Satoh

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引用次数: 2

摘要

用高斯超几何方程定义了一类新的调和Hadamard流形，即超几何型空间。定义在超几何型调和Hadamard流形上的球面傅立叶变换允许一个反演公式。关于体积密度，得到了超几何型调和Hadamard流形的一个特征。

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Harmonic Hadamard Manifolds and Gauss Hypergeometric Differential Equations

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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来源期刊

Publications of the Research Institute for Mathematical Sciences 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.