Some properties of lightlike submanifolds of semi-Riemannian manifolds

• Autorzy: Kumar R. , Rani R. , Nagich R. K.
• Języki publikacji: EN

Abstrakty

EN

We initially obtain various relations and then establish necessary andsufficient condition for the integrability of screen distribution of a lightlike submanifold. We also establish necessary and sufficient condition for a lightlike submanifold to be totally geodesic.

Słowa kluczowe

EN

lightlike submanifolds; totally geodesic lightlike submanifolds

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 3
• Strony: 691--701
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Kumar R.

autor

Rani R.

autor

Nagich R. K.

• Department of Mathematics University College of Engineering Punjabi University Patiala 147 002, India,

Bibliografia

• [1] A. Bejancu, K. L. Duggal, Lightlike submanifolds of semi-Riemannian manifolds, Acta. Appl. Math. 38 (1995), 197–215.
• [2] B. O’Neill, Semi-Riemannian geometry with application to relativity, Academic Press, New York, (1983).
• [3] D. N. Kupeli, On null submanifolds in spacetimes, Geom. Dedicata 23 (1987), 33–51.
• [4] D. N. Kupeli, Degenerate manifolds, Geom. Dedicata 23 (1987), 259–290.
• [5] D. N. Kupeli, Degenerate submanifolds in semi-Riemannian geometry, Geom. Dedicata 24 (1987), 337–361.
• [6] D. N. Kupeli, Singular Semi-Riemannian Geometry, Kluwer, Dordrocht, 1996.
• [7] E. Kilic, B. Sahin, H. Bayram Karadag, R. Giines, Coisotropic submanifolds of a semi-Riemannian manifold, Turkish J. Math. 28 (2004), 335–352.
• [8] K. Honda, Some lightlike submanifolds, SUT J. Math. 37 (2001), 69–78.
• [9] K. L. Duggal, D. H. Jin, Totally umbilical lightlike submanifolds, Kodai Math. J. 26 (2003), 49–68.
• [10] K. L. Duggal, A. Bejancu, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Acad. Publishers, Dordrecht, 1996.
• [11] K. Yano, Integral Formulas in Riemannian Geometry, Marcel Dekker, New York, (1970).