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math.DG2025
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…
math.DG2015★ 12 cited
Surfaces containing two circles through each point
Mikhail Skopenkov, Rimvydas Krasauskas
We find all analytic surfaces in space such that through each point of the surface one can draw two transversal circular arcs fully contained in the surface. The pro…