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