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arXiv · 0707.4039

Closed conformal Killing-Yano tensor and geodesic integrability

Tsuyoshi Houri·Takeshi Oota·Yukinori Yasui
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Abstract

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.

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Tsuyoshi Houri, Takeshi Oota, Yukinori Yasui. 2007-07-27. Closed conformal Killing-Yano tensor and geodesic integrability. https://doi.org/10.1088/1751-8113%2F41%2F2%2F025204

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