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B.-Y. Chen, Pseudo-Riemannian geometry, -invariants and applications, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2011.
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B.-Y. Chen, Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index, Publ. Math. Debrecen 78 (2011), no. 2, 485-503.
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B.-Y. Chen and F. Dillen, Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms, J. Math. Phys., 48 (2007), no. 1, 013509, 23 pp.; Erratum, J. Math. Phys. 49 (2008), no. 5, 059901, 1 p.
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B.-Y. Chen, F. Dillen, and J. Van der Veken, Complete classification of parallel Lorentzian surfaces in Lorentzian complex space norms, Internat. J. Math. 21 (2010), no. 5, 665-686.
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B.-Y. Chen and O. Garay, Classification of quasi-minimal surfaces with parallel mean curvature vector in pseudo-Euclidean 4-space , Result. Math. 55 (2009), no. 1-2, 23-38.
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B.-Y. Chen and I. Mihai, Classification of quasi-minimal slant surfaces in Lorentzian complex space forms, Acta Math. Hungar. 122 (2009), no. 4, 307-328.
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B.-Y. Chen and J. Van der Veken, Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms, Tohoku Math. J. 61 (2009), no. 1, 1-40.
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B.-Y. Chen and D. Yang, Addendum to "Classification of marginally trapped Lorentzian flat surfaces in and its application to biharmonic surfaces", J. Math. Anal. Appl. 361 (2010), no. 1, 280-282.
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Y. Fu and Z.-H. Hou, Classification of Lorentzian surfaces with parallel mean curvature vector in pseudo-Euclidean spaces, J. Math. Anal. Appl. 371 (2010), no. 1, 25-40.
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G. Ganchev and V. Milousheva, An invariant theory of spacelike surfaces in the fourdimensional Minkowski space, Mediterr. J. Math. 9 (2012), no. 2, 267-294.
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G. Ganchev and V. Milousheva, An invariant theory of marginally trapped surfaces in the four-dimensional Minkowski space, J. Math. Phys. 53 (2012), no. 3, 033705, 15 pp.
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G. Ganchev and V. Milousheva, Quasi-minimal rotational surfaces in pseudo-Euclidean four-dimensional space, Cent. Eur. J. Math. 12 (2014), no. 10, 1586-1601.
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S. Haesen and M. Ortega, Screw invariant marginally trapped surfaces in Minkowski 4-space, J. Math. Anal. Appl. 355 (2009), no. 2, 639-648.
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E. Lane, Projective Differential Geometry of Curves and Surfaces, University of Chicago Press, Chicago, 1932.
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J. Little, On singularities of submanifolds of higher dimensional Euclidean spaces, Ann. Mat. Pura Appl. IV Ser. 83 (1969), 261-335.
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R. Rosca, On null hypersurfaces of a Lorentzian manifold, Tensor (N.S.) 23 (1972), 66-74.
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S. Shu, Space-like submanifolds with parallel normalized mean curvature vector field in de Sitter space, J. Math. Phys. Anal. Geom. 7 (2011), no. 4, 352-369.
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R. Walter, Uber zweidimensionale parabolische Flachen im vierdimensionalen affinen Raum. I: Allgemeine Flachentheorie, J. Reine Angew. Math. 227 (1967), 178-208.
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S.-T. Yau, Submanifolds with constant mean curvature, Amer. J. Math. 96 (1974), 346-366.
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C. Burstin and W. Mayer, Uber affine Geometrie XLI: Die Geometrie zweifach ausgedehnter Mannigfaltigkeiten im affinen , Math. Z. 26 (1927), no. 1, 373-407.
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B.-Y. Chen, Geometry of submanifolds, Marcel Dekker, Inc., New York, 1973.
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B.-Y. Chen, Surfaces with parallel normalized mean curvature vector, Monatsh. Math. 90 (1980), no. 3, 185-194.
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B.-Y. Chen, Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces with arbitrary codimension, J. Math. Phys. 50 (2009), 043503.
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B.-Y. Chen, Classification of marginally trapped Lorentzian flat surfaces in and its application to biharmonic surfaces, J. Math. Anal. Appl. 340 (2008), no. 2, 861-875.
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B.-Y. Chen, Classification of marginally trapped surfaces of constant curvature in Lorentzian complex plane, Hokkaido Math. J. 38 (2009), no. 2, 361-408.
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B.-Y. Chen, Black holes, marginally trapped surfaces and quasi-minimal surfaces, Tamkang J. Math. 40 (2009), no. 4, 313-341.
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B.-Y. Chen, Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms, Cent. Eur. J. Math. 7 (2009), 400-428.
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B.-Y. Chen, Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space, Cent. Eur. J. Math. 8 (2010), no. 4, 706-734.
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B.-Y. Chen, Complete classification of parallel Lorentz surfaces in four-dimensional neutral pseudosphere, J. Math. Phys. 51 (2010), no. 8, 083518, 22 pp.
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B.-Y. Chen, Complete explicit classification of parallel Lorentz surfaces in arbitrary pseudo-Euclidean spaces, J. Geom. Phys. 60 (2010), no. 10, 1333-1351.
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B.-Y. Chen, Complete classification of Lorentz surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean space, Kyushu J. Math. 64 (2010), no. 2, 261-279.
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B.-Y. Chen, Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms, Arab J. Math. Sci. 16 (2010), no. 1, 1-46.
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