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A semi-Riemannian manifold of quasi-constant curvature admits some half lightlike submanifolds

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In this paper, we study the curvature of a semi-Riemannian manifold M of quasi-constant curvature admits some half lightlike submanifolds M. The main result is two characterization theorems for fM admits extended screen homothetic and statical half lightlike submanifolds M such that the curvature vector field of fM is tangent to M.

Abstract

In this paper, we study the curvature of a semi-Riemannian manifold fM of quasi-constant curvature admits some half lightlike submanifolds M. The main result is two characterization theorems for M admits extended screen homothetic and statical half lightlike submanifolds M such that the curvature vector field of fM is tangent to M.

참고문헌 (10)

  1. B. Y. Chen, "Hypersurfaces of a conformally flat space", Tensor, 26, pp.318~322 (1972)
  2. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  3. K. L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
  4. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  5. K. L. Duggal, "Differential Geometry of Lightlike Submanifolds" (2010), Frontiers in Mathematics
  6. 진대호, "EINSTEIN HALF LIGHTLIKE SUBMANIFOLDS WITH A KILLING CO-SCREEN DISTRIBUTION", 호남수학학술지, 30(3), pp.487~504 (2008), 호남수학회
  7. 진대호, "HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 순수 및 응용수학, 17(1), pp.29~38 (2010), 한국수학교육학회
  8. 진대호, "LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE", 대한수학회논문집, 27(4), pp.763~770 (2012), 대한수학회
  9. D. H. Jin, "Lightlike submanifolds of a semi-Riemannian manifold of quasi- constant curvature", Journal of Applied Mathematics, pp.636782~ (2012)[DOI]
  10. D. N. Kupeli, "Singular Semi-Riemannian Geometry, In Mathematics and Its Applications, vol. 366" (1996), Kluwer Acad. Publishers

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