Hongxia Li, Ximin Liu
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