3 citations · 4 across the 5 of their papers we have counts for
5 papers
Isoperimetric problem for quasi-Finsler metrics and shapes of least aerodynamic resistance
Lev Lokutsievskiy, Alexander Plakhov
We consider the following model in the framework of Newtonian aerodynamics: a 2D convex body moves forward and slowly oscillates in a rarefied medium on the plane. The law of oscil…
Derivatives of Sub-Riemannian Geodesics are -Hölder Continuous
Lev Lokutsievskiy, Mikhail Zelikin
This article is devoted to the long-standing problem on the smoothness of sub-Riemannian geodesics. We prove that the derivatives of sub-Riemannian geodesics are always -Hölde…
Non-optimality of conical parts for Newton's problem of minimal resistance in the class of convex bodies and the limiting case of infinite height
Lev Lokutsievskiy, Gerd Wachsmuth, Mikhail Zelikin
We consider Newton's problem of minimal resistance, in particular we address the problem arising in the limit if the height goes to infinity. We establish existence of solutions an…
Universal spaces for finite group actions on spaces of type
Lev Lokutsievskiy
In this paper author proposes a construction of a universal space of type such that any action (up to homotopy conjugation) of a given finite group on spaces of the sa…
Homotopy classification of finite group actions on aspherical spaces
Lev Lokutsievskiy
The author proposes a method for investigating actions of finite groups on aspherical spaces. Complete homotopy classification of free actions of finite groups on aspherical spaces…