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http://dx.doi.org/10.4134/BKMS.2012.49.6.1163

EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH SPECIAL CONFORMALITIES  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1163-1178 More about this Journal
Abstract
In this paper, we study the geometry of Einstein half lightlike submanifolds M of a semi-Riemannian space form $\bar{M}(c)$ subject to the conditions: (a) M is screen conformal, and (b) the coscreen distribution of M is a conformal Killing one. The main result is a classification theorem for screen conformal Einstein half lightlike submanifolds of a Lorentzian space form with a conformal Killing coscreen distribution.
Keywords
half lightlike submanifold; screen conformal; conformal Killing distribution;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 C. Atindogbe and K. L. Duggal, Conformal screen on lightlike hypersurfaces, Int. J. Pure Appl. Math. 11 (2004), no. 4, 421-442.
2 J. K. Beem, P. E. Ehrlich, and K. L. Easley, Global Lorentzian Geometry, Marcel Dekker, Inc. New York, Second Edition, 1996.
3 B. Y. Chen, Geometry of Submanifolds, Marcel Dekker, New York, 1973.
4 K. L. Duggal and A. Bejancu, Lightlike submanifolds of codimension two, Math. J. Toyama Univ. 15 (1992), 59-82.
5 K. L. Duggal and A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
6 K. L. Duggal and D. H. Jin, Half-lightlike submanifolds of codimension two, Math. J. Toyama Univ. 22 (1999), 121-161.
7 A. Fialkow, Hypersurfaces of a space of constant curvature, Ann. of Math. (2) 39 (1938), no. 4, 762-785.   DOI
8 S. G. Harris, A triangle comparison theorem for Lorentz manifolds, Indiana Univ. Math. J. 31 (1982), no. 3, 289-308.   DOI
9 D. H. Jin, Einstein half lightlike submanifolds with a Killing co-screen distribution, Honam Math. J. 30 (2008), no. 3, 487-504.   과학기술학회마을   DOI   ScienceOn
10 D. H. Jin, A characterization of screen conformal half lightlike submanifolds, Honam Math. J. 31 (2009), no. 1, 17-23.   과학기술학회마을   DOI   ScienceOn
11 D. N. Kupeli, Singular Semi-Riemannian Geometry, Mathematics and Its Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
12 B. O'Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press, 1983.
13 G. de Rham, Sur la reductibilite d'un espace de Riemannian, Comment. Math. Helv. 26 (1952), 328-344.   DOI
14 T. Y. Thomas, On closed spaces of constant mean curvature, Amer. J. Math. 58 (1936), no. 4, 702-704.   DOI   ScienceOn
15 K. Yano, Differential Geometry on Complex and Almost Complex Spaces, The Macmillan Company, 1965.