Characteristic function of symmetric Damek-Ricci space
Bull. Korean Math. Soc. 2017 Vol. 54, No. 3, 911-916
Published online November 3, 2016
Printed May 31, 2017
Sinhwi Kim and JeongHyeong Park
Sungkyunkwan University, Sungkyunkwan University
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
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