Abstract
A surface in the Lorentzian complex plane ${\bf C}^2_1$ is called {\it marginally trapped\/} if its mean curvature vector is light-like at each point on the surface. In this article, we classify marginally trapped surfaces of constant curvature in the Lorentzian complex plane ${\bf C}^2_1$. Our main results state that there exist twenty-one families of marginally trapped surfaces of constant curvature in ${\bf C}^2_1$. Conversely, up to rigid motions and dilations, marginally trapped surfaces of constant curvature in ${\bf C}^2_1$ are locally obtained from these twenty-one families.
Citation
B.-Y. CHEN. "Classification of marginally trapped surfaces of constant curvature in Lorentzian complex plane." Hokkaido Math. J. 38 (2) 361 - 408, May 2009. https://doi.org/10.14492/hokmj/1248190082
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