Abstract
Lorentz surfaces with parallel mean curvature vector in $\mathbb{E}_2^4$ have been classified in [14]. In this paper, we continue to classify Lorentz surfaces with parallel mean curvature vector in pseudo-Riemannian space forms $S_2^4(1)$ and $H_2^4(-1)$. Consequently, we achieve the complete classification of Lorentz surfaces with parallel mean curvature vector in 4-dimensional neutral indefinite space form with index 2.
Citation
Dan Yang. Yu Fu. "Classification of Lorentz surfaces with parallel mean curvature vector in non-flat pseudo-Riemannian space forms $S_2^4(1)$ and $H_2^4(-1)$." Bull. Belg. Math. Soc. Simon Stevin 20 (4) 715 - 733, october 2013. https://doi.org/10.36045/bbms/1382448191
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