Faculty of Science, Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
Abstract:
A better than quadratic estimate is given for the volume of the convex hull of points on Hadamard manifolds with pinched curvature. It was known previously that the volume is bounded by some polynomial in . The estimate comes from the study of the convex hull of finitely many convex sets on Hadamard manifolds.