Characteristic function of symmetric Damek-Ricci space

Sinhwi Kim; JeongHyeong Park

doi:10.4134/BKMS.b160352

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Bull. Korean Math. Soc. 2017; 54(3): 911-916

Online first article November 3, 2016 Printed May 31, 2017

https://doi.org/10.4134/BKMS.b160352

Characteristic function of symmetric Damek-Ricci space

Sinhwi Kim and JeongHyeong Park

Sungkyunkwan University, Sungkyunkwan University

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Abstract

A Damek-Ricci space is a typical locally harmonic manifold, which is a generalization of the rank one symmetric space of the non-compact type. In this paper, we determine explicitly the characteristic function of a Damek-Ricci space by calculating the determinant of a Jacobi tensor.

Keywords: Damek-Ricci space, characteristic function, Jacobi tensor

MSC numbers: 53C25, 53C35