논문KCI 등재
Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection
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초록
We study Einstein lightlike hypersurfaces M of a Lorentzian space form M(c) admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure vector field ζ of fM belongs to the screen distribution S(TM). The main result is a characterization theorem for such a lightlike hypersurface.
Abstract
We study Einstein lightlike hypersurfaces M of a Lorentzian space form M(c) admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure vector field ζ of fM belongs to the screen distribution S(TM). The main result is a characterization theorem for such a lightlike hypersurface.
참고문헌 (12)
- N. S. Agashe, "A semi-symmetric non-metric connection on a Rie- mannian manifold", Indian J. Pure Appl. Math, 23(6), pp.399~409 (1992)
- G. de Rham, "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, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
- K. L. Duggal, "A Classification of Einstein lightlike hypersurfaces of a Lorentzian space form", J. Geom. Phys, 60(12), pp.1881~1889 (2010)
- K. L. Duggal, "Differential Geometry of Lightlike Submanifolds" (2010), Frontiers in Mathematics
- S. W. Hawking, "The Large Scale Structure of Space-Time" (1973), Cambridge University Press
- 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]
- D. H. Jin, "Geometry of lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connection", Indian J. of Pure and Applied Math
- D. N. Kupeli, "Singular Semi-Riemannian Geometry" (1996), Kluwer Acad. Publishers
- B. O’Neill, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press
- E. Yasar, "Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection", Math. Scand, 102(2), pp.253~264 (2008)
관련 논문AI추천
Einstein lightlike hypersurfaces of a Lorentzian space form with a semi-symmetric metric connection진대호대한수학회 · 대한수학회논문집2013 · 제28권 제1호Ascreen lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connectionDae Ho Jin대한수학회 · 대한수학회논문집2014 · 제29권 제2호SCREEN CONFORMAL EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM진대호대한수학회 · 대한수학회논문집2010 · 제25권 제2호HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호Lightlike hypersurfaces of a Lorentz manifold with a semi-symmetric non-metric connection진대호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호
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