J. Korean Math. Soc. 2009; 46(1): 171-185
Printed January 1, 2009
Copyright © The Korean Mathematical Society.
Jin Hyuk Choi, Ilwon Kang, Byung Hak Kim, and Yangmi Shin
Kyung Hee University, Kyung Hee University, Kyung Hee University, Kyung Hee University
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
1995; 32(3): 553-562
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