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Non-existence of totally geodesic screen distributions on lightlike hypersurfaces of indefinite Kenmotsu manifolds

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대한수학회 (The Korean Mathematical Society)|2013.04|대한수학회논문집 (Communications of the KMS)|제28권 제2호|pp. 353-360

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참고문헌

키워드

lightlike hypersurfaceindefinite Kenmotsu manifoldscreen totally geodesicflat transversal connection
주제분류수학

초록

We study lightlike hypersurfaces of indefinite Kenmotsu manifolds. The purpose of this paper is to prove that there do not exist totally geodesic screen distributions on semi-symmetric lightlike hypersurfaces of indefinite Kenmotsu manifolds with flat transversal connection.

Abstract

We study lightlike hypersurfaces of indefinite Kenmotsu manifolds. The purpose of this paper is to prove that there do not exist totally geodesic screen distributions on semi-symmetric lightlike hypersurfaces of indefinite Kenmotsu manifolds with flat transversal connection.

참고문헌 (14)

  1. C. Cˇalin, "Contributions to Geometry of CR-submanifold" (1998), Thesis, University of Iasi
  2. B. Y. Chen, "Geometry of Submanifolds" (1973), Marcel Dekker
  3. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  4. K. L. Duggal, "Totally umbilical lightlike submanifolds", Kodai Math. J, 26(1), pp.49~68 (2003)
  5. K. L. Duggal, "Null Curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  6. K. L. Duggal, "Differential Geometry of Lightlike Submanifolds" (2010), Frontiers in Mathematics
  7. S. W. Hawking, "The Large Scale Structure of Space-Time" (1973), Cambridge University Press
  8. Dae Ho Jin, "LIGHTLIKE HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 충청수학회지, 22(3), pp.409~416 (2009), 충청수학회
  9. 진대호, "LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 대한수학회논문집, 25(3), pp.443~450 (2010), 대한수학회
  10. D. H. Jin, "Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold", Indian J. Pure Appl. Math, 41(4), pp.569~581 (2010)
  11. 진대호, "GEOMETRY OF LIGHTLIKE HYPERSURFACES OF AN INDEFINITE COSYMPLECTIC MANIFOLD", 대한수학회논문집, 27(1), pp.185~195 (2012), 대한수학회
  12. D. H. Jin, "The curvatures of lightlike hypersurfaces of an indefinite Kenmotsu manifold", Balkan J. Geom. Appl, 17(1), pp.49~57 (2012)
  13. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tbohoku Math. J, 24(2), pp.93~103 (1972)
  14. B. O’Neill, "Semi-Riemannian Geometry with Applications to Relativity" (1983), Academic Press

관련 논문AI추천

Lightlike hypersurfaces of a Lorentz manifold with a semi-symmetric non-metric connection진대호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS진대호대한수학회 · 대한수학회논문집2010 · 제25권 제3호Non-Existence for Screen Quasi-Conformal Irrotational Half Lightlike Submanifolds of a Semi-Riemannian Space form Admitting a Semi-Symmetric Non-Metric Connection진대호영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호Lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection신종문영남수학회 · East Asian Mathematical Journal2015 · 제31권 제1호A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호SCREEN CONFORMAL LIGHTLIKE REAL HYPERSURFACES OF AN INDEFINITE COMPLEX SPACE FORM진대호대한수학회 · 대한수학회보2010 · 제47권 제2호

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