Blaschke-Type Theorem and Separation of Disjoint Closed Geodesic Convex Sets

N. N. Hai () and P. T. An ()
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N. N. Hai: International University, Vietnam National University
P. T. An: CEMAT, Instituto Superior Técnico

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 3, No 7, 551 pages

Abstract: Abstract In this paper, we deal with analytic and geometrical properties of geodesic convex sets and geodesic paths. We show that Blaschke’s Theorem for convex sets is also true for geodesic convex sets and geodesic paths in a simple polygon. Some geometrical properties of geodesic triangles are presented. Furthermore, separation of geodesic convex sets is shown.

Keywords: Blaschke’s Theorem; Convex sets; Geodesic paths; Geodesic convex sets; Geodesic triangles; Separation of convex sets (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9868-5

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