6 citations · 6 across the 4 of their papers we have counts for
4 papers
Families of surfaces with constant ratio of principal curvatures and Plateau's problem
Mikhail Skopenkov, Khusrav Yorov
This work is on surfaces with a constant ratio of principal curvatures. These CRPC surfaces generalize minimal surfaces but are much more challenging to construct. We propose a con…
Unlocking Euclidean Problems with Isotropic Initialization
Khusrav Yorov, Bolun Wang, Mikhail Skopenkov +2
Many problems in Euclidean geometry, arising in computational design and fabrication, amount to a system of constraints, which is challenging to solve. We suggest a new general app…
Quasi-arithmetic hyperbolic Coxeter prisms
Nikolay Bogachev, Khusrav Yorov
In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arit…
Surfaces of constant principal-curvatures ratio in isotropic geometry
Khusrav Yorov, Mikhail Skopenkov, Helmut Pottmann
We study surfaces with a constant ratio of principal curvatures in Euclidean and simply isotropic geometries and characterize rotational, channel, ruled, helical, and translational…