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Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric Φ-symmetric connection

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대한수학회 (The Korean Mathematical Society)|2017.03|대한수학회보 (Bulletin of the KMS)|제54권 제2호|pp. 619-632

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참고문헌

키워드

lightlike hypersurfacenon-metric $\phi$-symmetric connectionrecurrent and Lie-recurrent hypersurfaces
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초록

We define a new connection on semi-Riemannian manifold, which is called a {\it non-metric $\phi$-symmetric connection}. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric $\phi$-symmetric connection.

Abstract

We define a new connection on semi-Riemannian manifold, which is called a {\it non-metric $\phi$-symmetric connection}. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric $\phi$-symmetric connection.

참고문헌 (14)

  1. N. S. Agashe, "A semi-symmetric non-metric connection on a Riemannian manifold", Indian J. Pure Appl. Math, 23(6), pp.399~409 (1992)
  2. N. S. Agashe, "On submanifolds of a Riemannian manifold with a semi-symmetric non-metric connection", Tensor (N.S.), 55(2), pp.120~130 (1994)
  3. 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
  4. A. Barman, "On a type of quarter-symmetric non-metric -connection on a Kenmotsu manifold", Bull. Math. Analy. Appl, 4(3), pp.1~11 (2012)
  5. G. de Rham, "Sur la r´eductibilit´e d’un espace de Riemannian", Comm. Math. Helv, 26, pp.328~344 (1952)
  6. K. L. Duggal, "Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications" (1996), Kluwer Acad. Publishers
  7. K. L. Duggal, "Null curves and Hypersurfaces of Semi-Riemannian Manifolds" (2007), World Scientific
  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, "GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION", 호남수학학술지, 36(2), pp.217~232 (2014), 호남수학회
  12. Dae Ho Jin, "Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connection", 대한수학회보, 52(1), pp.201~213 (2015), 대한수학회
  13. D. H. Jin, "Special lightlike hypersurfaces of indefinite Kaehler manifolds", Filomat, 30(7), pp.1919~1930 (2016)
  14. 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)

관련 논문AI추천

Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(\ell,\,m)$Dae Ho Jin대한수학회 · 대한수학회보2016 · 제53권 제4호GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC Φ-SYMMETRIC CONNECTION진대호대한수학회 · 대한수학회논문집2017 · 제32권 제4호LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION진대호대한수학회 · 대한수학회지2017 · 제54권 제1호Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a non-metric $\phi$-symmetric connection진대호대한수학회 · 대한수학회보2016 · 제53권 제6호Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection진대호대한수학회 · 대한수학회지2018 · 제55권 제5호

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