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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.
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참고문헌 (9)
참고문헌 신청
I. Dotti / 1998 / Negatively curved homogeneous Osserman spaces / Differential Geom. Appl. J 11 (2) : 163 ~ 178
J. Berndt / 1995 / Generalized Heisenberg groups and Damek-Ricci harmonic spaces / Springer-Verlag
P. Coulton / 1990 / Submanifolds of the Cayley projective plane with bounded second fundamental form / Geom. Dedicata 33 (3) : 265 ~ 275
S. Besse / 1978 / Manifolds all of whose geodesics are closed / Springer-Verlag
T. Sakai / 1996 / Riemannian geometry, Translated from the 1992 Japanese original by the au-thor / American Mathematical Society
J. Berndt / 1995 / Generalized Heisenberg groups and Damek-Ricci harmonic spaces / Springer-Verlag
P. Coulton / 1990 / Submanifolds of the Cayley projective plane with bounded second fundamental form / Geom. Dedicata 33 (3) : 265 ~ 275
S. Besse / 1978 / Manifolds all of whose geodesics are closed / Springer-Verlag
T. Sakai / 1996 / Riemannian geometry, Translated from the 1992 Japanese original by the au-thor / American Mathematical Society
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