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Null 2-Type Hypersurfaces in a Lorentz Space

Published online by Cambridge University Press:  20 November 2018

Angel Ferrández  and
Pascual Lucas
Angel Ferrández
Affiliation:
Departamento de Matemáticas Universidad de Murcia Campus de Espinardo 30100 Espinardo Murcia SPAIN
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Abstract

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In this paper, under certain hypothesis, we characterize generalized hyperbolic cylinders as the only null 2-type hypersurfaces in a Lorentz space.

Keywords

53C40finite type submanifoldsspace-like hypersurfaces
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 3 , 01 September 1992 , pp. 354 - 360
Copyright
Copyright © Canadian Mathematical Society 1992

References

1. Chen, B. Y., Finite type submanifolds in pseudo-Euclidean spaces and applications , Kodai Math. J. 8(1985),358–374.Google Scholar
2. Chen, B. Y., Finite-type pseudo-Riemannian submanifolds, Tamkang J. of Math. (2) 17(1986), 137–151.Google Scholar
3. Chen, B. Y., Null 2-type surfaces in E3 are circular cylinders, Kodai Math. J. 11(1988), 295–299.Google Scholar
4. Chen, B. Y., Null 2-type surfaces in Euclidean space , Algebra, Analysis and Geometry. National Taiwan Univ., 1988.Google Scholar
5. Ferrândez, A., Garay, O. J. and Lucas, P., Finite type ruled manifolds shaped on spherical submanifolds, Arch. Math. 57(1991), 97–104.Google Scholar
6. Nomizu, K., On isoparametric hypersurfaces in the Lorentzian space forms, Japan J. Math. 7(1981), 217–226.Google Scholar
7. Ryan, P. J., Homogeneity and some curvature conditions for hypersurfaces, Tôhoku Math. J. 21(1969), 363–388.Google Scholar