• Bulletin of the Korean Mathematical Society
• /
• v.54 no.3
• /
• pp.911-916
• /
• 2017

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.