11 citations · 18 across the 20 of their papers we have counts for
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math.DG2014★ 1 cited
Comparison theorem for support functions of hypersurfaces
Alexander Borisenko, Kostiantyn Drach
For a convex domain that is enclosed by the hypersurface of bounded normal curvature, we prove an angle comparison theorem for angles between and geod…
math.DG2014
About an isoperimetric property of -convex lunes on the Lobachevsky plane
Kostiantyn Drach
We give a sharp lower bound on the area of a domain that can be enclosed by a closed embedded -convex curve of a given length on the Lobachevsky plane.
math.DG2014
Some sharp estimates for convex hypersurfaces of pinched normal curvature
Kostiantyn Drach
For a convex domain bounded by the hypersurface in a space of constant curvature we give sharp bounds on the width of a spherical shell with radii and $r…