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On lightlike submanifolds of a GRW space-time

강태호
대한수학회 (The Korean Mathematical Society)|2014.04|대한수학회논문집 (Communications of the KMS)|제29권 제2호|pp. 295-310

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참고문헌

키워드

lightlike submanifoldspacelike slicegeneralized Robertson-Walker space-timecurvature invariancetotally umbilical second fundamental formnull sectional curvaturenull Ricci curvature
주제분류수학

초록

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

Abstract

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

참고문헌 (12)

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  2. J. K. Beem, "Global Lorentzian Geometry" (1981), Marcel Dekker, INC
  3. B.-Y. Chen, "Spatial and Lorentzian surfaces in Robertson-Walker space-times", J. Math. Phys, 48(7), pp.1~12 (2007)
  4. B.-Y. Chen, "Differential geometry of submanifolds of warped product manifolds I × f Sm−1(k)", J. Geom, 91(1-2), pp.21~42 (2008)
  5. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Academic Publishers
  6. K. L. Duggal, "Totally umbilical lightlike submanifolds", Kodai Math. J, 26(1), pp.49~68 (2003)
  7. K. L. Duggal, "Differential geometry of lightlike submanifolds" (2010), Birkhauser Verlag AG
  8. 강태호, "On the Geometry of Lightlike Submanifolds", Kyungpook Mathematical Journal, 51(2), pp.125~138 (2011), 경북대학교 자연과학대학 수학과
  9. 강태호, "ON LIGHTLIKE HYPERSURFACES OF A GRW SPACE-TIME", 대한수학회보, 49(4), pp.863~874 (2012), 대한수학회
  10. N. Kupeli, "Singular Semi-Riemannian Geometry", pp.366~ (1996), Kluwer Academic Publishers
  11. B. O’Neill, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press
  12. K. Yano, "Structures on Manifold" (1984), World Scientific

관련 논문AI추천

ON LIGHTLIKE HYPERSURFACES OF A GRW SPACE-TIME강태호대한수학회 · 대한수학회보2012 · 제49권 제4호A note on lightlike hypersurfaces of a GRW space-time강태호대한수학회 · 대한수학회논문집2018 · 제33권 제1호On horizontal lightlike hypersurfaces of Robertson-Walker spacetimesQuanxiang Pan, Ximin Liu대한수학회 · 대한수학회논문집2015 · 제30권 제2호On the Geometry of Lightlike Submanifolds강태호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE진대호대한수학회 · 대한수학회논문집2012 · 제27권 제4호Singular Theorems for Lightlike Submanifolds in a Semi-Riemannian Space Form진대호영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호

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