Sinha [2] has defined pseudocurvature tensor field in ann-dimensional Finsler spaceF_n. In the present paper we have studied some recurrent properties of pseudocurvature tensor.

The purpose of this paper is to discuss focal points of submanifolds of naturally reductive compact Riemannian homogeneous spaces. Focal points have been studied by other workers [1, 4, 7]. In this paper we have estimated location of focal points along geodesic and obtained a condition under which a point is a focal point along geodesic.

This paper deals with some of the matching and non-matching properties of two minimal geodesics from a cut point, which is not a focal point, to the points of the submanifold. Closest cut point to the submanifold has been obtained under some additional assumptions.