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May 2009 Classification of marginally trapped surfaces of constant curvature in Lorentzian complex plane
B.-Y. CHEN
Hokkaido Math. J. 38(2): 361-408 (May 2009). DOI: 10.14492/hokmj/1248190082

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

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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

Information

Published: May 2009
First available in Project Euclid: 21 July 2009

zbMATH: 1187.53056
MathSciNet: MR2522919
Digital Object Identifier: 10.14492/hokmj/1248190082

Subjects:
Primary: 53C40
Secondary: 53C42, 53C50

Rights: Copyright © 2009 Hokkaido University, Department of Mathematics

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Vol.38 • No. 2 • May 2009
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