## Some results on the convex hull of finitely many convex sets

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- by Albert Borbély PDF
- Proc. Amer. Math. Soc.
**126**(1998), 1515-1525 Request permission

## Abstract:

A better than quadratic estimate is given for the volume of the convex hull of $n$ points on Hadamard manifolds with pinched curvature. It was known previously that the volume is bounded by some polynomial in $n$. The estimate comes from the study of the convex hull of finitely many convex sets on Hadamard manifolds.## References

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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
- 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
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**126**(1998), 1515-1525 - MSC (1991): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-98-04155-0
- MathSciNet review: 1425113