Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature

D. H. Jin and J. W. Lee

Journal of Applied Mathematics, 2012, vol. 2012, 1-18

Abstract:

We study the geometry of lightlike submanifolds ( ð ‘€ , ð ‘” , 𠑆 ( 𠑇 ð ‘€ ) , 𠑆 ( 𠑇 ð ‘€ ⟂ ) ) of a semi-Riemannian manifold ( î‚‹ ð ‘€ , ̃ ð ‘” ) of quasiconstant curvature subject to the following conditions: (1) the curvature vector field ζ of î‚‹ ð ‘€ is tangent to ð ‘€ , (2) the screen distribution 𠑆 ( 𠑇 ð ‘€ ) of ð ‘€ is totally geodesic in ð ‘€ , and (3) the coscreen distribution 𠑆 ( 𠑇 ð ‘€ ⟂ ) of ð ‘€ is a conformal Killing distribution.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:636782

DOI: 10.1155/2012/636782

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