Minimal flat Lorentzian surfaces in Lorentzian complex space forms
Differential Geometry
2013-07-26 v2
Abstract
In this article we study minimal flat Lorentzian surfaces in Lorentzian complex space forms. First we prove that, for minimal flat Lorentzian surfaces in a Lorentzian complex form, the equation of Ricci is a consequence of the equations of Gauss and Codazzi. Then we classify minimal flat Lorentzian surfaces in the Lorentzian complex plane . Finally, we classify minimal flat slant surfaces in Lorentzian complex projective plane and in Lorentzian complex hyperbolic plane .
Cite
@article{arxiv.1307.3972,
title = {Minimal flat Lorentzian surfaces in Lorentzian complex space forms},
author = {Bang-Yen Chen},
journal= {arXiv preprint arXiv:1307.3972},
year = {2013}
}
Comments
16 pages. Appeared in Publ. Math. Debrecen, 73 (2008), nos. 1-2, 233-248