Hongxia Li, Ximin Liu

Semi-Slant Submanifolds of a Locally Product Manifold

In the present paper, we define and study the slant, bi-slant and semi-slant submanifolds of a locally product manifold. We give some characterization theorems for slant submanifolds and semi-slant submanifolds. Moreover, we obtain integrability conditions for the distributions which are involved in the definition of semi-slant submanifolds. We also get some results about mixed totally geodesic submanifolds.

Locally product manifold, slant submanifold, semi-slant submanifold, bi-slant submanifold.

MSC 2000: 53C40, 53C25, 53C15