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math.MG2025
A Generalization of a Classical Geometric Extremum Problem
Petar Kenderov, Oleg Mushkarov, Nikolai Nikolov
Let be the boundary of a compact convex body in , and be an interior point of . Every straight line…
math.MG2025
On a geometric extremum problem for convex cones
Oleg Mushkarov, Nikolai Nikolov
We discuss the optimization problem for minimizing the -volume of the intersection of a convex cone in with a hyperplane through a given point, first consider…