SCREEN SEMI-INVARYANT HALF-LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN PRODUCT MANIFOLD WITH QUARTER-SYMMETRIC CONNECTION

Abstract

In this paper, we study half-lightlike submanifolds of a semi- Riemannian product manifold. We introduce a classes half-lightlike subman- ifolds of called screen semi-invariant half-lightlike submanifolds. We de ned some special distribution of screen semi-invariant half-lightlike submanifold. We give some equivalent conditions for integrability of distributions with re- spect to the Levi-Civita connection of semi-Riemannian manifolds and quarter- symmetric non-metric connection of semi-Riemannian manifolds and some re- sults.