18 citations · 127 across the 50 of their papers we have counts for
4 papers · 1 filter
Multiple Criteria Problems over Minkowski Balls
S. S Kutateladze
Under study are some vector optimization problems over the space of Minkowski balls, i.e., symmetric convex compact subsets in Euclidean space. A typical problem requires to achiev…
Alexandrov's Approach to the Minkowski Problem
S. S. Kutateladze
This article is dedicated to the centenary of the birth of Aleksandr D. Alexandrov (1912-1999). His functional-analytical approach to the solving of the Minkowski problem is examin…
Pareto Optimality and Isoperimetry
S. S. Kutateladze
Under study is the new class of geometrical extremal problems in which it is required to achieve the best result in the presence of conflicting goals; e.g., given the surface area…
Blaschke addition and convex polyhedra
Victor Alexandrov, Natalia Kopteva, S. S. Kutateladze
This is an extended version of a talk on October 4, 2004 at the research seminar ``Differential geometry and applications'' (headed by Academician A. T. Fomenko) at Moscow State Un…