Closed conformal Killing-Yano tensor and geodesic integrability

Houri, Tsuyoshi; Oota, Takeshi; Yasui, Yukinori

Closed conformal Killing-Yano tensor and geodesic integrability

Authors

Houri, Tsuyoshi

Oota, Takeshi

Yasui, Yukinori

Description

Assuming the existence of a single rank-2 closed conformal Killing-Yano tensor with a certain symmetry we show that there exist mutually commuting rank-2 Killing tensors and Killing vectors. We also discuss the condition of separation of variables for the geodesic Hamilton-Jacobi equations.
17 pages, no figure, LaTeX