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In this paper, we study lightlike submanifolds of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. We obtain a necessary and a sufficient condition for integrability of the screen distribution. Then we give the conditions under which the Ricci tensor of a lightlike submanifold with a semi-symmetric non-metric connection is symmetric. Finally, we show that the Ricci tensor of a lightlike submanifold of semi-Riemannian space form is not parallel with respect to the semi-symmetric non-metric connection.
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참고문헌 (14)
참고문헌 신청
A. Bejancu / 1995 / Lightlike submanifolds of semi-Riemannian manifolds / Acta Appl. Math. 38 (2) : 197 ~ 215
B. O'Neill / 1983 / Semi-Riemannian Geometry with Applications to Relativity / Academic Press
B. Prasad / 2004 / On a type of semi-symmetric non-metric connection on a Riemannian manifold / Bull. Calcutta Math. Soc. 96 (6) : 483 ~ 488
E. Kılıc / 2004 / Coisotropic submanifolds of a semi-Riemannian manifold / Turkish J. Math. 28 (4) : 335 ~ 352
E. Ya?ar / 2008 / Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection / Math. Scand. 102 (2) : 253 ~ 264
B. O'Neill / 1983 / Semi-Riemannian Geometry with Applications to Relativity / Academic Press
B. Prasad / 2004 / On a type of semi-symmetric non-metric connection on a Riemannian manifold / Bull. Calcutta Math. Soc. 96 (6) : 483 ~ 488
E. Kılıc / 2004 / Coisotropic submanifolds of a semi-Riemannian manifold / Turkish J. Math. 28 (4) : 335 ~ 352
E. Ya?ar / 2008 / Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection / Math. Scand. 102 (2) : 253 ~ 264
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