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math.MG2012
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…
math.MG2009
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…