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A Characterization Theorem for Lightlike Hypersurfaces of Semi-Riemannian Manifolds of Quasi-Constant Curvatures
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In this paper, we study lightlike hypersurfaces M of semi- Riemannian manifolds M of quasi-constant curvatures. Our main result is a characterization theorem for screen homothetic Einstein lightlike hy- persurfaces of a Lorentzian manifold of quasi-constant curvature subject such that its curvature vector eld is tangent to M.
Abstract
In this paper, we study lightlike hypersurfaces M of semi- Riemannian manifolds M of quasi-constant curvatures. Our main result is a characterization theorem for screen homothetic Einstein lightlike hy- persurfaces of a Lorentzian manifold of quasi-constant curvature subject such that its curvature vector eld is tangent to M.
참고문헌 (7)
- M. C. Chaki, "On quasi-Einstein manifolds", Publ. Math. Debrecen, 57, pp.297~306 (2000)
- B. Y. Chen, "Hypersurfaces of a conformally at space", Tensor, 26, pp.318~322 (1972)
- 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 Mani-folds" (2007), World Scienti c
- K. L. Duggal, "A classi cation of Einstein lightlike hypersurfaces of a Lorentzian space form", J. Geom. Phys., 60, pp.1881~1889 (2010)
- 진대호, "SCREEN CONFORMAL EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM", 대한수학회논문집, 25(2), pp.225~234 (2010), 대한수학회
- D. N. Kupeli, "Singular Semi-Riemannian Geometry, Mathematics and Its Applications" (1996), Kluwer Acad. Publishers
관련 논문AI추천
LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호대한수학회 · 대한수학회논문집2012 · 제27권 제4호THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제4호A semi-Riemannian manifold of quasi-constant curvature admits some half lightlike submanifolds진대호대한수학회 · 대한수학회보2013 · 제50권 제3호Lightlike Hypersurfaces of Indefinite Kaehler Manifolds of Quasi-Constant Curvatures진대호영남수학회 · East Asian Mathematical Journal2014 · 제30권 제5호SCREEN CONFORMAL EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZIAN SPACE FORM진대호대한수학회 · 대한수학회논문집2010 · 제25권 제2호Einstein lightlike hypersurfaces of a Lorentzian space form with a semi-symmetric metric connection진대호대한수학회 · 대한수학회논문집2013 · 제28권 제1호
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