Submanifolds of Riemannian Product Manifolds
Authors : Mehmet Atçeken
Pages : 389-401
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this paper, we study the geometry of the semi-invariant submanifolds of a Riemannian product manifold. Fundamental properties of these type submanifolds such as the integrability of the distributions D, D\bot and mixed-geodesic property are studied. Finally, necessary and sufficient conditions are given on a semi-invariant submanifold of Riemannian product manifold to be D-geodesic and D\bot-geodesic.Keywords : Riemannian Product Manifold, Real Space Form, Locally Riemannian Product and Curvature-Invariant Submanifold