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CHARACTERISTIC FUNCTION OF SYMMETRIC DAMEK-RICCI SPACE

CHARACTERISTIC FUNCTION OF SYMMETRIC DAMEK-RICCI SPACE

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.