On hermite-liouville manifolds

Masayuki Igarashi; Kazuyoshi Kiyohara

doi:10.2969/jmsj/06230895

On hermite-liouville manifolds

Masayuki Igarashi, Kazuyoshi Kiyohara

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

2 Citations (Scopus)

Abstract

In this paper we study a certain class of Hermitian n-manifolds whose geodesic flows admit n first integrals of certain kind. It is a generalization of Kahler-Liouville manifold in [3] and called Hermite-Liouville manifold. We completely determine the local structure of Hermite-Liouville manifolds "of type (A)", and construct global examples over the complex pro-jective space.

Original language	English
Pages (from-to)	895-933
Number of pages	39
Journal	Journal of the Mathematical Society of Japan
Volume	62
Issue number	3
DOIs	https://doi.org/10.2969/jmsj/06230895
Publication status	Published - Jul 2010
Externally published	Yes

Keywords

Hermite-Liouville manifolds
Integrable geodesic flows

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06230895

Cite this

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author = "Masayuki Igarashi and Kazuyoshi Kiyohara",

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AB - In this paper we study a certain class of Hermitian n-manifolds whose geodesic flows admit n first integrals of certain kind. It is a generalization of Kahler-Liouville manifold in [3] and called Hermite-Liouville manifold. We completely determine the local structure of Hermite-Liouville manifolds "of type (A)", and construct global examples over the complex pro-jective space.

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KW - Integrable geodesic flows

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On hermite-liouville manifolds

Abstract

Keywords

ASJC Scopus subject areas

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