논문KCI 등재
Non-Existence for Screen Quasi-Conformal Irrotational Half Lightlike Submanifolds of a Semi-Riemannian Space form Admitting a Semi-Symmetric Non-Metric Connection
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초록
We study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form -M(c) equipped with a semi-symmetric non-metric connection subject such that the structurevector field of -M(c) belongs to the screen distribution S(TM). The main result is a non-existence theorem for such half lightlike submanifolds.
Abstract
We study screen quasi-conformal irrotational half lightlike submanifolds M of a semi-Riemannian space form -M(c) equipped with a semi-symmetric non-metric connection subject such that the structurevector field of -M(c) belongs to the screen distribution S(TM). The main result is a non-existence theorem for such half lightlike submanifolds.
참고문헌 (8)
- N.S. Ageshe, "A semi-symmetric non-metric connection on a Riemannian manifold", Indian J. Pure Appl. Math., 23(6), pp.1992~
- K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
- K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
- K. L. Duggal, "Differential geometry of lightlike submanifolds, Frontiers in Mathematics" (2010), Birkhauser
- 진대호, "LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION", 순수 및 응용수학, 19(3), pp.211~228 (2012), 한국수학교육학회[DOI]
- 진대호, "A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection", 대한수학회보, 50(3), pp.705~717 (2013), 대한수학회
- B. O'Neill, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press
- E. Yasar, "Lightlike hypersurfaces in semi-Riemannian man-ifold with semi-symmetric non-metric connection", Math. Scand, 102, pp.253~264 (2008)
관련 논문AI추천
HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호Non-existence of totally geodesic screen distributions on lightlike hypersurfaces of indefinite Kenmotsu manifolds진대호대한수학회 · 대한수학회논문집2013 · 제28권 제2호Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTIONAhmet Yücesan, Erol Yaşar대한수학회 · 대한수학회보2010 · 제47권 제5호Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회보2013 · 제50권 제4호
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