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
(1991): 53C42
Keyword(s):
Manifolds without focal points,
convex subsets,
geodesics,
sectional curvature
Received June 10, 1993 and in revised form November 24, 1993. (Registered under 5588/2009.)
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