On hermite-liouville manifolds

Masayuki Igarashi, Kazuyoshi Kiyohara

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)895-933
Number of pages39
JournalJournal of the Mathematical Society of Japan
Volume62
Issue number3
DOIs
Publication statusPublished - Jul 2010

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Hermite
Geodesic Flow
First Integral
Local Structure

Keywords

  • Hermite-Liouville manifolds
  • Integrable geodesic flows

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On hermite-liouville manifolds. / Igarashi, Masayuki; Kiyohara, Kazuyoshi.

In: Journal of the Mathematical Society of Japan, Vol. 62, No. 3, 07.2010, p. 895-933.

Research output: Contribution to journal › Article

Igarashi, M & Kiyohara, K 2010, 'On hermite-liouville manifolds', Journal of the Mathematical Society of Japan, vol. 62, no. 3, pp. 895-933. https://doi.org/10.2969/jmsj/06230895
Igarashi M, Kiyohara K. On hermite-liouville manifolds. Journal of the Mathematical Society of Japan. 2010 Jul;62(3):895-933. https://doi.org/10.2969/jmsj/06230895
Igarashi, Masayuki ; Kiyohara, Kazuyoshi. / On hermite-liouville manifolds. In: Journal of the Mathematical Society of Japan. 2010 ; Vol. 62, No. 3. pp. 895-933.
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