논문KCI 등재
On the Geometry of Lightlike Submanifolds
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초록
We give some characterizations of non-existence of lightlike hypersurfaces of an indefinite space form. Some geometric objects for the induced Ricci tensor to be symmetric are studied.
Abstract
We give some characterizations of non-existence of lightlike hypersurfaces of an indefinite space form. Some geometric objects for the induced Ricci tensor to be symmetric are studied.
참고문헌 (3)
- C. Atindogbe, "Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature", Kodai Math. J, 29, pp.58~71 (2006)
- K. L. Duggal, "Lightlike submanifolds of semi-Riemannian manifolds and applications" (1996), Kluwer Academic, Publishers
- K. L. Duggal, "Totally umbilical lightlike submanifolds", Kodai Math. J, 26, pp.49~68 (2003)
관련 논문AI추천
Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호Singular Theorems for Lightlike Submanifolds in a Semi-Riemannian Space Form진대호영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호LOCALLY SYMMETRIC HALF LIGHTLIKE SUBMANIFOLDS IN AN INDEFINITE KENMOTSU MANIFOLD진대호대한수학회 · 대한수학회논문집2012 · 제27권 제3호LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호대한수학회 · 대한수학회논문집2012 · 제27권 제4호Non-existence of totally geodesic screen distributions on lightlike hypersurfaces of indefinite Kenmotsu manifolds진대호대한수학회 · 대한수학회논문집2013 · 제28권 제2호Lightlike submanifolds of indefinite cosymplectic manifolds강태호, 김수관영남수학회 · East Asian Mathematical Journal2008 · 제24권 제4호
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