Slant submanifolds of an almost product Riemannian manifold

Makaleler > Tam Makale · 2006

Yazarlar: Bayram ŞAHİN

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2006, cilt 43, ss 717-732

DOI: 10.4134/jkms.2006.43.4.717

Özet

In this paper, we study both slant and semi-slant submanifolds of an almost product Riemannian manifold. We give characterization theorems for slant and semi-slant submanifolds and investigate special class of slant submanifolds which are product version of Kaehlerian slant submanifold. We also obtain integrability conditions for the distributions which are involved in the definition of a semi-slant submanifold. Finally, we prove a theorem on the geometry of leaves of distributions under a condition.

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