Abstract. In this paper we define and study exposed points of subsets in a smooth Riemannian manifold without focal points. Sectional curvature at exposed points is studied. Proofs of well-known theorems are given as corollaries of the established results.
AMS Subject Classification
Manifolds without focal points,
Received June 10, 1993 and in revised form November 24, 1993. (Registered under 5588/2009.)