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Half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection

진대호
대한수학회 (The Korean Mathematical Society)|2017.01|대한수학회논문집 (Communications of the KMS)|제32권 제1호|pp. 119-133

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키워드

half lightlike submanifoldsemi-symmetric non-metric connectionrecurrentLie recurrent
주제분류수학

초록

In this paper, we study half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. First, we characterize the geometry of two types of half lightlike submanifolds of such an indefinite Kaehler manifold. Next, we investigate the geometry of half lightlike submanifolds of an indefinite complex space form with a semi-symmetric non-metric connection.

Abstract

In this paper, we study half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. First, we characterize the geometry of two types of half lightlike submanifolds of such an indefinite Kaehler manifold. Next, we investigate the geometry of half lightlike submanifolds of an indefinite complex space form with a semi-symmetric non-metric connection.

참고문헌 (15)

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  2. N. S. Agashe, "On submanifolds of a Riemannian manifold with semi-symmetric non-metric connection", Tensor (N.S.), 55(2), pp.120~130 (1994)
  3. G. de Rham, "Sur la r´eductibilit´e d’un espace de Riemannian", Comment Math. Helv, 26, pp.328~344 (1952)
  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. 진대호, "GEOMETRY OF SCREEN CONFORMAL REAL HALF LIGHTLIKE SUBMANIFOLDS", 대한수학회보, 47(4), pp.701~714 (2010), 대한수학회
  7. 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
  8. 진대호, "Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection", 대한수학회보, 50(4), pp.1367~1376 (2013), 대한수학회
  9. D. H. Jin, "Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection", J. Inequal. Appl, 2013, pp.13~ (2013)
  10. 진대호, "NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS WITH SEMI-SYMMETRIC NON-METRIC CONNECTIONS", 대한수학회지, 51(2), pp.311~323 (2014), 대한수학회
  11. D. H. Jin, "Special lightlike hypersurfaces of indefinite Kaehler manifolds", Filomat (2014)
  12. 진대호, "LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION", 대한수학회지, 54(1), pp.101~115 (2017), 대한수학회
  13. 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
  14. D. N. Kupeli, "Singular Semi-Riemannian Geometry, Mathematics and Its Applications" (1996), Kluwer Acad. Publishers
  15. E. Ya¸sar, "Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection", Math. Scand, 102(2), pp.253~264 (2008)

관련 논문AI추천

A classification of half lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection이재원, 진대호대한수학회 · 대한수학회보2013 · 제50권 제3호LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호대한수학회 · 대한수학회지2017 · 제54권 제1호Geometry of half lightlike submanifolds of indefinite Kaehler manifolds with a quarter-symmetric metric connectionGarima Gupta, Rakesh Kumar대한수학회 · 대한수학회논문집2020 · 제35권 제3호Real half lightlike submanifolds of an indefinite Kaehler manifold진대호대한수학회 · 대한수학회논문집2011 · 제26권 제4호Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호Non-tangential half lightlike submanifolds of an indefinite cosymplectic manifold진대호한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제2호

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