NEW EXAMPLES OF MAXIMAL SURFACES IN LORENTZ-MINKOWSKI SPACE

Rafael LÓPEZ, Seher KAYA
2017 Kyushu Journal of Mathematics  
We use the Björling formula in Lorentz-Minkowski space to construct explicit parametrizations of maximal surfaces containing a circle and a helix. For Frenet curves, the orthogonal vector field along the core curve is a linear combination of the principal normal and binormal vectors where the coefficients are hyperbolic trigonometric functions. In the particular case that these coefficients are constant, we obtain all rotational maximal surfaces. We investigate the Weierstrass representation of
more » ... s representation of these surfaces.
doi:10.2206/kyushujm.71.311 fatcat:ds2h5dpkcvaxfnnxi54aabjiqu