논문KCI 등재
Characteristic function of symmetric Damek-Ricci space
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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.
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.
참고문헌 (9)
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- Y. Euh, "A curvature identity on a 6-dimensional Riemannian Manifold and its applications", Czech Math. J
- Y. Euh, "Characteristic function of Cayley projective plane as a harmonic manifold", Hokkaido Math. J
- T. Sakai, "Riemannian geometry, Translated from the 1992 Japanese original by the au-thor" (1996), American Mathematical Society
- Y. Watanabe, "On the characteristic function of harmonic K¨ahlerian spaces", Kˆohoku Math. J, 27, pp.13~24 (1975)
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