WARPED PRODUCT SEMI-SLANT SUBMANIFOLDS OF A LOCALLY PRODUCT RIEMANNIAN MANIFOLD
Makaleler > Tam Makale · 2009
Yazarlar: Bayram ŞAHİN
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2009, cilt 46, ss 169-184
DOI: 10.1556/sscmath.46.2009.2.1086
Özet
In [20], it was shown that there are no warped product semi-slant submanifolds of Kaehler manifolds. In this paper, we show that there exists a class of non-trivial warped product semi-slant submanifolds of a locally product Riemannian manifold contrary to Kaehlerian case. Then, we give a characterization, an example and investigate the geometry of warped product semi-slant submanifolds in a locally product Riemannian manifold.