4 citations · 8 across the 5 of their papers we have counts for
5 papers
Index of bipolar surfaces to Otsuki tori
Egor Morozov
For each rational number one can construct an -equivariant minimal torus in called Otsuki torus and denoted by . The La…
On the Index of Fraser-Sargent-type minimal surfaces
Vladimir Medvedev, Egor Morozov
Fraser-Sargent surfaces are free boundary minimal surfaces in the four-dimensional unit Euclidean ball. Extended infinitely they define immersed minimal surfaces in the Euclidean s…
Surfaces containing two isotropic circles through each point
Egor Morozov
We prove (under some technical assumptions) that each surface in containing two arcs of parabolas with axes parallel to through each point has a parametrization…
Symmetries of 3-polytopes with fixed edge lengths
Egor Morozov
We consider an interesting class of combinatorial symmetries of polytopes which we call \emph{edge-length preserving combinatorial symmetries}. These symmetries not only preserve t…
Generalized problem of Apollonius
Egor Morozov
The aim of this paper is to generalize Apollonius' problem. The problem is to construct a circle that is tangent to three given circles in a plane. We find the maximum possible num…