FIBRED RIEMANNIAN SPACE WITH ALMOST COMPLEX STRUCTURES

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 fib...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2009, Vol.46 (1), p.171-185
Hauptverfasser: Choi, Jin-Hyuk, Kang, Il-Won, Kim, Byung-Hak, Shin, Yang-Mi
Format: Artikel
Sprache:kor
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Zusammenfassung: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.
ISSN:0304-9914