TY - JOUR
T1 - On hermite-liouville manifolds
AU - Igarashi, Masayuki
AU - Kiyohara, Kazuyoshi
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/7
Y1 - 2010/7
N2 - 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.
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.
KW - Hermite-Liouville manifolds
KW - Integrable geodesic flows
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U2 - 10.2969/jmsj/06230895
DO - 10.2969/jmsj/06230895
M3 - Article
AN - SCOPUS:77957958675
VL - 62
SP - 895
EP - 933
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
SN - 0025-5645
IS - 3
ER -