On Hermite-Liouville manifolds
Masayuki IGARASHI and Kazuyoshi KIYOHARA
Source: J. Math. Soc. Japan Volume 62, Number 3
(2010), 895-933.
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 Kähler-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 projective space.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1280496823
Digital Object Identifier: doi:10.2969/jmsj/06230895
Zentralblatt MATH identifier: 05786474
Mathematical Reviews number (MathSciNet): MR2648066
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Journal of the Mathematical Society of Japan
