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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2009; 46(1): 171-185

Printed January 1, 2009

Copyright © The Korean Mathematical Society.

Fibred Riemannian space with almost complex structures

Jin Hyuk Choi, Ilwon Kang, Byung Hak Kim, and Yangmi Shin

Kyung Hee University, Kyung Hee University, Kyung Hee University, Kyung Hee University

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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

MSC numbers: Primary 53B35, 53C55, 53D15

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