C-projective equivalence and integrability of the geodesic flow

Kazuyoshi Kiyohara

doi:10.1016/j.geomphys.2014.07.023

C-projective equivalence and integrability of the geodesic flow

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	286-295
Number of pages	10
Journal	Journal of Geometry and Physics
Volume	87
DOIs	https://doi.org/10.1016/j.geomphys.2014.07.023
Publication status	Published - Jan 1 2015

Keywords

C-projective equivalence
Integrable geodesic flow
Kähler-Liouville manifold

ASJC Scopus subject areas

Mathematical Physics
Physics and Astronomy(all)
Geometry and Topology

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Kiyohara, K. (2015). C-projective equivalence and integrability of the geodesic flow. Journal of Geometry and Physics, 87, 286-295. https://doi.org/10.1016/j.geomphys.2014.07.023

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