Turkish Journal of Mathematics
DOI
10.3906/mat-1106-36
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.
First Page
267
Last Page
277
Recommended Citation
TAŞTAN, HAKAN METE and POLATOĞLU, YAŞAR
(2013)
"On quasiconformal harmonic mappings lifting to minimal surfaces,"
Turkish Journal of Mathematics: Vol. 37:
No.
2, Article 8.
https://doi.org/10.3906/mat-1106-36
Available at:
https://journals.tubitak.gov.tr/math/vol37/iss2/8
