Turkish Journal of Mathematics
DOI
-
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
First Page
389
Last Page
401
Recommended Citation
ATÇEKEN, MEHMET (2005) "Submanifolds of Riemannian Product Manifolds," Turkish Journal of Mathematics: Vol. 29: No. 4, Article 5. Available at: https://journals.tubitak.gov.tr/math/vol29/iss4/5
