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Lightlike hypersurfaces of a Lorentz manifold with a semi-symmetric non-metric connection
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In this paper,we study lightlike hypersurfaces M of a Lorentz manifold -Mwith a semi-symmetric non-metric connection subject to the conditions;(1) the screen distribution S(TM) is totally geodesic in M, and(2) the second fundamental form B of M is parallel.
Abstract
In this paper,we study lightlike hypersurfaces M of a Lorentz manifold -Mwith a semi-symmetric non-metric connection subject to the conditions;(1) the screen distribution S(TM) is totally geodesic in M, and(2) the second fundamental form B of M is parallel.
참고문헌 (6)
- N.S. Ageshe, "A semi-symmetric non-metric connection on a Riemann-ian manifold", Indian J. Pure Appl. Math, 23(6), pp.399~409 (1992)
- N.S. Ageshe, "submanifolds of a Riemannian manifold with semi-symmetric non-metric connection", Tensor, N. S, 55, pp.120~130 (1994)
- G. de Rham, "Sur la reductibilite d'un espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
- K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
- K.L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyam Univ, 22, pp.121~161 (1999)
- E. Yasar, "Lightlike hypersurfaces in semi-Riemannian man-ifold with semi-symmetric non-metric connection", Math. Scand, 102, pp.253~264 (2008)
관련 논문AI추천
Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTIONAhmet Yücesan, Erol Yaşar대한수학회 · 대한수학회보2010 · 제47권 제5호A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호Ascreen lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connectionDae Ho Jin대한수학회 · 대한수학회논문집2014 · 제29권 제2호Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회보2013 · 제50권 제4호
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