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LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

진대호
대한수학회 (The Korean Mathematical Society)|2017.01|대한수학회지 (Journal of the KMS)|제54권 제1호|pp. 101-115

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참고문헌

키워드

semi-symmetric non-metric connectionrecurrentLie recurrentHopf lightlike hypersurface
주제분류수학

초록

In this paper, we study three types of lightlike hypersurfaces, which are called {\it recurrent}, {\it Lie recurrent} and {\it Hopf} lightlike hypersurfaces, of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. We provide several new results on such three types of lightlike hypersurfaces of an indefinite Kaehler manifold or an indefinite complex space form, with a semi-symmetric non-metric connection.

Abstract

In this paper, we study three types of lightlike hypersurfaces, which are called {\it recurrent}, {\it Lie recurrent} and {\it Hopf} lightlike hypersurfaces, of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. We provide several new results on such three types of lightlike hypersurfaces of an indefinite Kaehler manifold or an indefinite complex space form, with a semi-symmetric non-metric connection.

참고문헌 (15)

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  6. K. L. Duggal, "Differential Geometry of Lightlike Submanifolds, Frontiers in Mathematics" (2010), Birkhauser
  7. 진대호, "SCREEN CONFORMAL LIGHTLIKE REAL HYPERSURFACES OF AN INDEFINITE COMPLEX SPACE FORM", 대한수학회보, 47(2), pp.341~353 (2010), 대한수학회
  8. 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
  9. 진대호, "Einstein lightlike hypersurfaces of a Lorentz space form with a semi-symmetric non-metric connection", 대한수학회보, 50(4), pp.1367~1376 (2013), 대한수학회
  10. D. H. Jin, "Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection", J. Inequal. Appl, 2013(403), pp.13~ (2013)
  11. 진대호, "NON-TANGENTIAL HALF LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS WITH SEMI-SYMMETRIC NON-METRIC CONNECTIONS", 대한수학회지, 51(2), pp.311~323 (2014), 대한수학회
  12. D. H. Jin, "Special lightlike hypersurfaces of indefinite Kaehler manifolds", Filomat, 30(7), pp.1919~1930 (2016)
  13. D. H. Jin, "Geometry of lightlike hypersurfaces of a semi-Riemannian space form with a semi-symmetric non-metric connection", Indian J. of Pure and Applied Math
  14. 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
  15. E. Yasar, "Lightlike hypersurfaces in semi-Riemannian manifold with semi-symmetric non-metric connection", Math. Scand, 102(2), pp.253~264 (2008)

관련 논문AI추천

Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric Φ-symmetric connection진대호대한수학회 · 대한수학회보2017 · 제54권 제2호Half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection진대호대한수학회 · 대한수학회논문집2017 · 제32권 제1호Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(\ell,\,m)$Dae Ho Jin대한수학회 · 대한수학회보2016 · 제53권 제4호Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC Φ-SYMMETRIC CONNECTION진대호대한수학회 · 대한수학회논문집2017 · 제32권 제4호LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD진대호대한수학회 · 대한수학회논문집2012 · 제27권 제2호

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