23 citations · 220 across the 53 of their papers we have counts for
7 papers · 2 filters
Denjoy-Ahlfors Theorem for Harmonic Functions on Riemannian Manifolds and External Structure of Minimal Surfaces
Vladimir M. Miklyukov, Vladimir G. Tkachev
We extend the well-known Denjoy-Ahlfors theorem on the number of different asymptotic tracts of holomorphic functions to subharmonic functions on arbitrary Riemannian manifolds. We…
Double-periodic maximal surfaces with singularities
Vladimir V. Sergienko, Vladimir G. Tkachev
We construct and study a family of double-periodic almost entire solutions of the maximal surface equation. The solutions are parameterized by a submanifold of -matrices…
Life-time of minimal tubes and coefficients of univalent functions in a circular ring
Vladimir G. Tkachev
We obtain various estimates of the life-time of two-dimensional minimal tubes in R^3 by potential theory methods.
On the Gauss map of embedded minimal tubes
Irina M. Reshetnikova, Vladimir G. Tkachev
A surface is called a tube if its level-sets with respect to some coordinate function (the axis of the surface) are compact. Any tube of zero mean curvature has an invariant, the s…
External geometry of p-minimal surfaces
Vladimir G. Tkachev
A surface M is called p-minimal if one of the coordinate functions is p-harmonic in the inner metric. We show that in the twodimensional case the Gaussian map of such surfaces is q…
Finiteness of the number of ends of minimal submanifolds in euclidean space
Vladimir G. Tkachev
We prove a version of the well-known Denjoy-Ahlfors theorem about the number of asymptotic values of an entire function for properly immersed minimal surfaces of arbitrary codimens…