الفهرس 
Manifolds and submanifoldsOnly 14 pages are availabe for public view
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Abstract
This thesis includes a study of the necessary and sufficient conditions for convexity of subsets in general Riemannian manifolds with applications in special types of manifolds such as Euclidean, hyperbolic and elliptic spaces. The whole thesis consists of four chapters, an introduction (Chap. I) together with three chapters (Chap. 11, Chap. 111, Chap. IV) which contain the main results we have established. In Chapter I, we have quoted the necessary background material for the following three chapters. Accordingly, we wrote few sections on manifolds, submanifolds, Riemannian manifolds, connexions, convexity and forms, ..., etc, which are important for our study. In (1990) , D. mejia and D. Minda established the concept. of K-convex region !2 with boundary aR in Euclidean 2-space E” [21]. The main aim of Chapter I1 is to define and study the concept of k-convexity of regions in the Euclidean 3-space E~. In this chapter we established some results relating the kboundary of the considered region.