5 citations · 33 across the 23 of their papers we have counts for
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math.DG2016
Extreme properties of curves with bounded curvature on a sphere
Alexander Borisenko, Kostiantyn Drach
We give a sharp lower bound on the area of the domain enclosed by an embedded curve lying on a two-dimensional sphere, provided that geodesic curvature of this curve is bounded fro…
math.DG2016
Reverse isoperimetric inequality in two-dimensional Alexandrov spaces
Alexander Borisenko
We prove a reverse isoperimetric inequality for domains homeomorphic to a disc with the boundary of curvature bounded below lying in two-dimensional Alexandrov spaces of curvature…