Abstract
In this paper we prove that slant surfaces in a non-flat Lorentzian complex space form must be Lagrangian. By applying this result, we completely classify pseudo-umbilical slant surfaces in Lorentzian complex space forms. Our classification results state that there exist two families of pseudo-umbilical slant surfaces in Lorentzian complex plane $\mathbb{C}^2_1$, three families in complex projective plane $CP^2_1$, and three families in complex hyperbolic plane $CH^2_1$.
Citation
Yu Fu. Zhong Hua Hou. "CLASSIFICATION OF PSEUDO-UMBILICAL SLANT SURFACES IN LORENTZIAN COMPLEX SPACE FORMS." Taiwanese J. Math. 15 (5) 1919 - 1938, 2011. https://doi.org/10.11650/twjm/1500406414
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