Duggal, K. L. On canonical screen for lightlike submanifolds of codimension two. (English) Zbl 1153.53016 Cent. Eur. J. Math. 5, No. 4, 710-719 (2007). The notion of light-like submanifolds was introduced by A. Bejancu and K. L. Duggal [Lightlike submanifolds of semi-Riemannian manifolds and applications. Math. and its Appl. 364, Dordrecht: Kluwer Academic Publishers (1996; Zbl 0848.53001)]. The study of these submanifolds is closely related to the choice of a screen distribution.In this paper the author studies light-like submanifolds of codimension two. More precisely, it is proved the existence of integrable canonical screen distributions. At the end of the paper an example is given which justifies the obtained results. Reviewer: Constantin Călin (Iaşi) Cited in 1 Document MSC: 53B25 Local submanifolds 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 53B50 Applications of local differential geometry to the sciences Keywords:half light-like submanifold; coisotropic submanifold; canonical screen distribution; screen conformal fundamental forms Citations:Zbl 0848.53001 PDFBibTeX XMLCite \textit{K. L. Duggal}, Cent. Eur. J. Math. 5, No. 4, 710--719 (2007; Zbl 1153.53016) Full Text: DOI References: [1] M.A. Akivis and V.V. Goldberg: “On some methods of construction of invariant normalizations of lightlike hypersurfaces”, Differential Geom. Appl., Vol. 12, (2000), pp. 121-143. http://dx.doi.org/10.1016/S0926-2245(00)00008-5; · Zbl 0965.53022 [2] C. Atindogbe and K.L. Duggal: “Conformal screen on lightlike hypersurfaces”, Int. J. Pure Appl. Math., Vol. 11, (2004), pp. 421-442.; · Zbl 1057.53051 [3] J.K. Beem and P.E. Ehrlich: Global Lorentzian geometry, Monographs and Textbooks in Pure and Applied Math., Vol. 67, Marcel Dekker, New York, 1981.; · Zbl 0462.53001 [4] K.L. Duggal: “On scalar curvature in lightlike geometry”, J. Geom. Phys., Vol. 57, (2007), pp. 473-481. http://dx.doi.org/10.1016/j.geomphys.2006.04.001; · Zbl 1107.53047 [5] K.L. Duggal: “A report on canonical null curves and screen distributions for lightlike geometry”, Acta Appl. Math., Vol. 95, (2007), pp. 135-149. http://dx.doi.org/10.1007/s10440-006-9082-x; · Zbl 1117.53019 [6] K.L. Duggal and A. Bejancu: “Lightlike submanifolds of codimension two”, Math. J. Toyama Univ., Vol. 15, (1992), pp. 59-82.; · Zbl 0777.53020 [7] K.L. Duggal and A. Bejancu: Lightlike submanifolds of semi-Riemannian manifolds and applications, Mathematics and its Applications, Vol. 364, Kluwer Academic Publishers Group, Dordrecht, 1996.; · Zbl 0848.53001 [8] K.L. Duggal and D.H. Jin: “Half lightlike submanifolds of codimension 2”, Math. J. Toyama Univ., Vol. 22, (1999), pp. 121-161.; · Zbl 0995.53051 [9] K.L. Duggal and B. Sahin: “Screen conformal half-lightlike submanifolds”, Int. J. Math. Math. Sci., Vol. 68, (2004), pp. 3737-3753. http://dx.doi.org/10.1155/S0161171204403342; · Zbl 1071.53041 [10] K.L. Duggal and A. Giménez: “Lightlike hypersurfaces of Lorentzian manifolds with distinguished screen”, J. Geom. Phys., Vol. 55, (2005), pp. 107-122. http://dx.doi.org/10.1016/j.geomphys.2004.12.004; · Zbl 1111.53029 [11] D.H. Jin: “Geometry of coisotropic submanifolds”, J. Korea Soc. Math. Educ. Ser. B Pure Appl. Math., Vol. 8, no. 1, (2001), pp. 33-46.; · Zbl 1203.53047 [12] B. O’Neill: Semi-Riemannian geometry with applications to relativity, Pure and Applied Mathematics, Vol. 103, Academic Press, New York, 1983.; · Zbl 0531.53051 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.