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

Kazuyoshi Kiyohara

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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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title = "C-projective equivalence and integrability of the geodesic flow",

abstract = "We show that there is a deep relation between C-projective equivalence and K{\"a}hler-Liouville manifolds; the latter is a typical class of K{\"a}hler manifolds whose geodesic flows are integrable in Liouville's sense.",

keywords = "C-projective equivalence, Integrable geodesic flow, K{\"a}hler-Liouville manifold",

author = "Kazuyoshi Kiyohara",

note = "Funding Information: The author is partially supported by JSPS Grant-in-Aid for Scientific Research (C) , No. 23540089 . ",

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PY - 2015/1/1

Y1 - 2015/1/1

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AB - 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.

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KW - Kähler-Liouville manifold

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