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http://dx.doi.org/10.7858/eamj.2015.004

LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION  

Shin, Jong Moon (Department of Mathematics Dongguk University)
Publication Information
East Asian mathematical journal / v.31, no.1, 2015 , pp. 33-40 More about this Journal
Abstract
We study the geometry of r-lightlike submanifolds M of a semi-Riemannian manifold $\bar{M}$ with a semi-symmetric non-metric connection subject to the conditions; (a) the screen distribution of M is totally geodesic in M, and (b) at least one among the r-th lightlike second fundamental forms is parallel with respect to the induced connection of M. The main result is a classification theorem for irrotational r-lightlike submanifold of a semi-Riemannian manifold of index r admitting a semi-symmetric non-metric connection.
Keywords
irrotational lightlike submanifold; totally geodesic screen distribution; semi-Riemannian manifold with a semi-symmetric non-metric connection;
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Times Cited By KSCI : 2  (Citation Analysis)
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