Turkish Journal of Mathematics
Abstract
We prove a growth theorem for a function to belong to the class \sum(\mu;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 L^3. We also obtain some estimates of the Gaussian curvature of the minimal surfaces in 3-dimensional Euclidean space R^3 and of the spacelike minimal surfaces in L^3.
DOI
10.3906/mat-1106-36
Keywords
Minimal surface, isothermal parameters, Weierstrass-Enneper representation, quasiconformal harmonic mapping
First Page
267
Last Page
277
Recommended Citation
TAŞTAN, H. M, & POLATOĞLU, Y (2013). On quasiconformal harmonic mappings lifting to minimal surfaces. Turkish Journal of Mathematics 37 (2): 267-277. https://doi.org/10.3906/mat-1106-36
