Bj\"orling problem for timelike surfaces in the Lorentz-Minkowski space
Differential Geometry
2009-06-15 v1
Abstract
We introduce a new approach to the study of timelike minimal surfaces in the Lorentz-Minkowski space through a split-complex representation formula for this kind of surface. As applications, we solve the Bj\"orling problem for timelike surfaces and obtain interesting examples and related results. Using the Bj\"orling representation, we also obtain characterizations of minimal timelike surfaces of revolution as well as of minimal ruled timelike surfaces in the Lorentz-Minkowsi space.
Keywords
Cite
@article{arxiv.0906.2361,
title = {Bj\"orling problem for timelike surfaces in the Lorentz-Minkowski space},
author = {Rosa M. B. Chaves and Martha P. Dussan and Martin Magid},
journal= {arXiv preprint arXiv:0906.2361},
year = {2009}
}