- Turkish Journal of Mathematics
- Vol: 39 Issue: 2
- The geometry of hemi-slant submanifolds of a locally product Riemannian manifold
The geometry of hemi-slant submanifolds of a locally product Riemannian manifold
Authors : Hakan Mete Taştan, Fatma Özdemir
Pages : 268-284
Doi:10.3906/mat-1407-18
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution involved in the definition of hemi-slant submanifold is integrable and give some applications of this result. We get a necessary and sufficient condition for a proper hemi-slant submanifold to be a hemi-slant product. We also study these types of submanifolds with parallel canonical structures. Moreover, we give two characterization theorems for the totally umbilical proper hemi-slant submanifolds. Finally, we obtain a basic inequality involving Ricci curvature and the squared mean curvature of a hemi-slant submanifold of a certain type of locally product Riemannian manifolds.Keywords : Locally product manifold, hemi-slant submanifold, slant distribution