On quasiconformal harmonic mappings lifting to minimal surfaces

We prove a growth theorem for a function to belong to the class \sum(m;a) and generalize a Weierstrass-Enneper representation type theorem for the minimal surfaces given in [5] to spacelike minimal surfaces which lie in 3-dimensional Lorentz-Minkowski space L3. We also obtain some estimates of the Gaussian curvature of the minimal surfaces in 3-dimensional Euclidean space R3 and of the spacelike minimal surfaces in L3.

Anahtar Kelimeler:

Minimal surface, isothermal parameters, Weierstrass-Enneper representation, quasiconformal harmonic mapping

On quasiconformal harmonic mappings lifting to minimal surfaces

Keywords:

Minimal surface, isothermal parameters, Weierstrass-Enneper representation, quasiconformal harmonic mapping,

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