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ON LIGHTLIKE HYPERSURFACES OF A GRW SPACE-TIME

강태호
대한수학회 (The Korean Mathematical Society)|2012.07|대한수학회보 (Bulletin of the KMS)|제49권 제4호|pp. 863-874

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참고문헌

키워드

lightlike hypersurfacespacelike slicecurvature invariancetotally umbilical second fundamental formnull sectional curvaturenull Ricci curvaturegeneralized Robertson-Walker space-times
주제분류수학

초록

We provide a study of lightlike hypersurfaces of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike hypersurfaces with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.

Abstract

We provide a study of lightlike hypersurfaces of a generalized Robertson-Walker (GRW) space-time. In particular, we investigate lightlike hypersurfaces with curvature invariance, parallel second fundamental forms, totally umbilical second fundamental forms, null sectional curvatures and null Ricci curvatures, respectively.

참고문헌 (11)

  1. A. L. Albujer, "A geometric interpretation of the null sectional curvature", J. Geom. Phys, 60(3), pp.471~476 (2010)
  2. C. Atindogbe, "Lightlike Einstein hypersurfaces in Lorentzian manifolds with constant curvature", Kodai Math. J, 29(1), pp.58~71 (2006)
  3. J. K. Beem, "Global Lorentzian Geometry" (1981), Marcel Dekker, INC
  4. B.-Y. Chen, "Spatial and Lorentzian surfaces in Robertson-Walker space-times", J. Math. Phys, 48(7), pp.073509~ (2007)
  5. B.-Y. Chen, "Differential geometry of submanifolds of warped product manifolds I × f Sm-1(k)", J. Geom, 91(1), pp.21~42 (2009)
  6. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Academic Publishers
  7. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Man- ifolds" (2007), World Scientific
  8. K. L. Duggal, "Differential geometry of lightlike submanifolds" (2010), Birkhauser Verlag AG
  9. 강태호, "On the Geometry of Lightlike Submanifolds", Kyungpook Mathematical Journal, 51(2), pp.125~138 (2011), 경북대학교 자연과학대학 수학과
  10. B. O'Neill, "Semi-Riemannian Geometry with Applications to Relativity" (1982), Academic Press
  11. K. Yano, "Structures on Manifold" (1984), World Scientific

관련 논문AI추천

On lightlike submanifolds of a GRW space-time강태호대한수학회 · 대한수학회논문집2014 · 제29권 제2호A note on lightlike hypersurfaces of a GRW space-time강태호대한수학회 · 대한수학회논문집2018 · 제33권 제1호On horizontal lightlike hypersurfaces of Robertson-Walker spacetimesQuanxiang Pan, Ximin Liu대한수학회 · 대한수학회논문집2015 · 제30권 제2호LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호대한수학회 · 대한수학회논문집2012 · 제27권 제4호On the Geometry of Lightlike Submanifolds강태호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호Lightlike hypersurfaces of a Lorentz manifold with a semi-symmetric non-metric connection진대호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호

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