Some results on the convex hull

of finitely many convex sets

Author:
Albert Borbély

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1515-1525

MSC (1991):
Primary 53C20

MathSciNet review:
1425113

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Albert Borbély**

Affiliation:
Faculty of Science, Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait

Email:
borbely@mcc.sci.kuniv.edu.kw

DOI:
http://dx.doi.org/10.1090/S0002-9939-98-04155-0

Keywords:
Convex hull

Received by editor(s):
February 27, 1996

Received by editor(s) in revised form:
October 14, 1996

Additional Notes:
This was research supported by the Kuwait University Research Grant SM 146

Communicated by:
Christopher Croke

Article copyright:
© Copyright 1998
American Mathematical Society