On Hermite-Liouville manifolds
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- Igarashi Masayuki
- Faculty of Industrial Science and Technology, Tokyo University of Science
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- Kiyohara Kazuyoshi
- Department of Mathematics, Faculty of Science, Okayama University
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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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 62 (3), 895-933, 2010
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390001205115420544
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- NII Article ID
- 10027870911
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL BIB ID
- 10764174
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed