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NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS

진대호
대한수학회 (The Korean Mathematical Society)|2014.10|대한수학회논문집 (Communications of the KMS)|제29권 제4호|pp. 539-547

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참고문헌

키워드

half lightlike submanifoldlightlike hypersurfacenon-metric π-connection
주제분류수학

초록

In this paper, we study two types 1-lightlike submanifolds M, so called lightlike hypersurface and half lightlike submanifold, of an indefinite Kaehler manifold ¯M admitting non-metric π-connection. We prove that there exist no such two types 1-lightlike submanifolds of an indefinite Kaehler manifold ¯M admitting non-metric π-connections.

Abstract

In this paper, we study two types 1-lightlike submanifolds M, so called lightlike hypersurface and half lightlike submanifold, of an indefinite Kaehler manifold ¯M admitting non-metric π-connection. We prove that there exist no such two types 1-lightlike submanifolds of an indefinite Kaehler manifold ¯M admitting non-metric π-connections.

참고문헌 (23)

  1. N. S. Ageshe, "A semi-symmetric non-metric connection on a Riemannian manifold", Indian J. Pure Appl. Math, 23(6), pp.399~409 (1992)
  2. Mobin Ahmad, "Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection", Kyungpook Mathematical Journal, 49(3), pp.533~543 (2009), 경북대학교 자연과학대학 수학과
  3. A. Barman, "On a type of quarter-symmetric non-metric ϕ-connection on a Kenmotsu manifold", Bull. Math. Analy. Appl, 4(3), pp.1~11 (2012)
  4. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  5. K. L. Duggal, "Half-lightlike submanifolds of codimension 2", Math. J. Toyama Univ, 22, pp.121~161 (1999)
  6. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  7. K. L. Duggal, "Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics" (2010), Birkhauser
  8. A. Friedmann, "Uber die Geometric der halbsymmetrischen Ubertragung", Math. Z, 21(1), pp.211~223 (1924)
  9. S. Golab, "On semi-symmetric and quarter-symmetric connections", Tensor (N.S.), 29(3), pp.249~254 (1975)
  10. 진대호, "SCREEN CONFORMAL LIGHTLIKE REAL HYPERSURFACES OF AN INDEFINITE COMPLEX SPACE FORM", 대한수학회보, 47(2), pp.341~353 (2010), 대한수학회
  11. 진대호, "LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS", 대한수학회논문집, 25(3), pp.443~450 (2010), 대한수학회
  12. 진대호, "GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS", 대한수학회보, 47(4), pp.701~714 (2010), 대한수학회
  13. 진대호, "REAL HALF LIGHTLIKE SUBMANIFOLDS WITH TOTALLY UMBILICAL PROPERTIES", 순수 및 응용수학, 17(1), pp.51~63 (2010), 한국수학교육학회
  14. 진대호, "Real half lightlike submanifolds of an indefinite Kaehler manifold", 대한수학회논문집, 26(4), pp.635~647 (2011), 대한수학회
  15. 진대호, "LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION", 순수 및 응용수학, 19(3), pp.211~228 (2012), 한국수학교육학회[DOI]
  16. 진대호, "Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection", 대한수학회보, 50(4), pp.1367~1376 (2013), 대한수학회
  17. D. H. Jin, "Einstein half lightlike submanifolds of a Lorentzian space form with a semisymmetric non-metric connection", J. Inequal. Appl, 2013(403), pp.13~ (2013)
  18. 진대호, "A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection", 대한수학회보, 50(3), pp.705~717 (2013), 대한수학회
  19. J. Nikic, "A remakable class of natural metric quarter-symmetric connection on a hyperbolic Kaehler space", Conference "Applied Differential Geometry: General Relativity"-Workshop "Global Analysis, Differential Geometry, Lie Algebras", pp.96~101 (2004)
  20. N. Pusic, "On quarter-symmetric metric connections on a hyperbolic Kaehler space", Publ. de l' Inst. Math, 73(87), pp.73~80 (2003)
  21. A. A. Shaikh, "On quarter symmetric metric connections on a (k,m)- contact metric manifolds", Commun. Fac. Sci. Univ. Ank. Series A1, 55(1), pp.33~45 (2006)
  22. S. Yadav, "A quart symmetric non-metric connection in a generalized co-symmpletic manifolds", Glob. J. Sci. Fron. Res, 11(9), pp.1~7 (2011)
  23. E. Yasar, "Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection", Math. Scand, 102(2), pp.253~264 (2008)

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