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arXiv · 1307.3972

Minimal flat Lorentzian surfaces in Lorentzian complex space forms

Bang-Yen Chen
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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 ${\bf C}^2_1$. Finally, we classify minimal flat slant surfaces in Lorentzian complex projective plane $CP^2_1$ and in Lorentzian complex hyperbolic plane $CH^2_1$.

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Bang-Yen Chen. 2013-07-25. Minimal flat Lorentzian surfaces in Lorentzian complex space forms. https://arxiv.org/abs/1307.3972

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