Research Article

Conjugate points on convex surfaces

Tudor Zamfirescua1

a1 Fachbereich Mathematik, Universität Dortmund, Postfach 50 05 00, D-4600 Dortmund 50, Germany.

On a convex surface S Rd, two points x, y are conjugate if there are at least two shortest paths, called segments, from x to y. This paper is about the set of points conjugate to some fixed point xєS.

(Received November 21 1989)

Key Words:

  • 52A15: CONVEX AND DISCRETE GEOMETRY; General convexity; Convex sets in 3 dimensions (including convex surfaces).