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http://dx.doi.org/10.4134/JKMS.2009.46.1.171

FIBRED RIEMANNIAN SPACE WITH ALMOST COMPLEX STRUCTURES  

Choi, Jin-Hyuk (DEPARTMENT OF MATHEMATICS KYUNG HEE UNIVERSITY)
Kang, Il-Won (DEPARTMENT OF MATHEMATICS KYUNG HEE UNIVERSITY)
Kim, Byung-Hak (DEPARTMENT OF MATHEMATICS KYUNG HEE UNIVERSITY)
Shin, Yang-Mi (DEPARTMENT OF MATHEMATICS KYUNG HEE UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.1, 2009 , pp. 171-185 More about this Journal
Abstract
We study fibred Riemannian spaces with almost complex structures which are induced by the almost complex structure or the almost contact structure on the base and fibre. We show that if the total space is a complex space form, then the total space is locally Euclidean. Moreover, we deal with the fibred Riemannian space with various Kaehlerian structures.
Keywords
fibred Riemannian space; almost complex structure; Kaehlerian space; complex space forms;
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