On Biharmonic Lorentz Hypersurfaces with Non-Diagonal Shape Operator

References (15)

1. Arvanitoyeorgos, A., Defever, F. and Kaimakamis, G., Hypersurfaces of E4 with proper mean curvature vector. J. Math. Soc. Japan, 59 (2007), 3, 797-809
2. Arvanitoyeorgos, A., Defever, F., Kaimakamis, G. and Papantoniou, V., Biharmonic Lorentzian hypersurfaces in E4. Pac. J. Math. 229(2007), 2, 293-305
3. Chen, B. Y., Total Mean Curvature and Submanifolds of Finite Type. World Scientific, Singapore, 1984
4. Chen, B. Y., Submanifolds of finite type and applications. Proc. Geometry and Topology Research Center, Taegu, 3 (1993), 1-48
5. Chen, B. Y., A report on submanifolds of finite type. Soochow J. Math., 22 (1996); 22: 117-337
6. Chen, B. Y., Classification of marginally trapped Lorentzian flat surfaces in E4 and its application to biharmonic surfaces. J. Math. Anal. Appl., 340(2008), 861-875
7. Chen, B. Y. and Ishikawa, S., Biharmonic surfaces in pseudo-Euclidean spaces. Mem. Fac. Sci. Kyushu Univ. A., 45 (1991), 323-347
8. Chen, B. Y. and Ishikawa, S., Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces. Kyushu J. Math., 52 (1998), 1-18
9. Dimitric, I., Quadratic representation and submanifolds of finite type. Doctoral thesis, Michigan State University, 1989
10. Deepika and Gupta, R. S., Biharmonic hypersurfaces in E5 with zero scalar curvature. Afr. Diaspora J. Math., 18 (2015), 1, 12-26
11. Fu, Y., Biharmonic hypersurfaces with three distinct principal curvatures in the Euclidean 5-space, Journal of Geometry and Physics, 75(2014), 113-119
12. Gupta, R. S., On biharmonic hypersurfaces in Euclidean space of arbitrary dimension. Glasgow Math. J., 57 (2015), 633-642
13. Gupta, R. S., Biharmonic hypersurfaces in E5. An. Stiint. Univ. Al. I. Cuza Iasi Mat. (N.S.),Tomul LXII (2016), f. 2, vol. 2, 585-593
14. Hasanis, Th. and Vlachos, Th., Hypersurfaces in E4 with harmonic mean curvature vector field. Math. Nachr., 172 (1995), 145-169
15. Magid, M. A., Lorentzian isoparametric hypersurfaces. Pacific J. Math., 118(1985), 165-197. Z., Einstein spaces. Pergamon Press, Oxford, 1969.