C-projective equivalence and integrability of the geodesic flow |
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Affiliation: | Graduate School of Natural Science and Technology, Okayama University, Okayama 700-8530, Japan |
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Abstract: | We show that there is a deep relation between -projective equivalence and Kähler–Liouville manifolds; the latter is a typical class of Kähler manifolds whose geodesic flows are integrable in Liouville’s sense. |
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Keywords: | Kähler–Liouville manifold Integrable geodesic flow |
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