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Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection

진대호
대한수학회 (The Korean Mathematical Society)|2017.05|대한수학회보 (Bulletin of the KMS)|제54권 제3호|pp. 1003-1022

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참고문헌

키워드

quarter-symmetric metric connectionindefinite trans-Sasakian structuregeneric lightlike submanifold
주제분류수학

초록

The object of study in this paper is generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. We study the geometry of two types of generic lightlike submanifolds, which are called {\it recurrent} and {\it Lie recurrent} generic lightlike submanifolds, of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection.

Abstract

The object of study in this paper is generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. We study the geometry of two types of generic lightlike submanifolds, which are called {\it recurrent} and {\it Lie recurrent} generic lightlike submanifolds, of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection.

참고문헌 (17)

  1. P. Alegre, "Generalized Sasakian space form", Israel J. Math, 141, pp.157~183 (2004)
  2. C. Cˇalin, "Contributions to geometry of CR-submanifold", pp.1998
  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, "Generic lightlike submanifolds of an indefinite Sasakian manifold", Int. Electron. J. Geom, 5(1), pp.108~119 (2012)
  6. 진대호, "Indefinite generalized Sasakian space form admitting a generic lightlike submanifold", 대한수학회보, 51(6), pp.1711~1726 (2014), 대한수학회
  7. D. H. Jin, "Lightlike hypersurfaces of a trans-Sasakian manifold with a quarter-symmetric metric connection", Appl. Math. Sci, 9(28), pp.1393~1406 (2015)
  8. D. H. Jin, "Generic lightlike submanifolds of an indefinite trans-Sasakian manifold of a quasi-constant curvature", Appl. Math. Sci, 9(60), pp.2985~2997 (2015)
  9. D. H. Jin, "Geometry of lightlike hypersurface of an indefinite Kaehler manifold with a quarter-symmetric metric connection", Appl. Math. Sci, 10(6), pp.289~299 (2016)
  10. D. H. Jin, "Geometry of lightlike hypersurface of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection", Appl. Math. Sci, 10(13), pp.625~636 (2016)
  11. D. H. Jin, "Special lightlike hypersurfaces of indefinite Kaehler manifolds", Filomat, 30(7), pp.1919~1930 (2016)
  12. D. H. Jin, "Generic lightlike submanifolds of an indefinite cosymplectic manifold", Math. Probl. Eng, 2011, pp.1~16 (2011)
  13. J. W. Lee, "A semi-Riemannian manifold of quasi-constant curvature admits lightlike sub-manifolds", Inter. J. Math. Anal, 9(25), pp.1215~1229 (2015)
  14. D. H. Jin, "Generic lightlike submanifolds of an indefinite Kaehler manifold", Inter. J. Pure Appl. Math, 101(4), pp.543~560 (2015)
  15. D. N. Kupeli, "Singular Semi-Riemannian Geometry", pp.366~ (1996), Kluwer Academic
  16. J. A. Oubina, "New classes of almost contact metric structures", Publ. Math. Debrecen, 32(3-4), pp.187~193 (1985)
  17. K. Yano, "Quarter-symmetric metric connection and their curvature tensors", Tensor N.S, 38, pp.13~18 (1982)

관련 논문AI추천

Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type metric connectionDae Ho Jin대한수학회 · 대한수학회논문집2019 · 제34권 제2호Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a non-symmetric non-metric connection of type $(\ell, m)$이재원, 이철우대한수학회 · 대한수학회논문집2020 · 제35권 제4호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION진대호영남수학회 · East Asian Mathematical Journal2017 · 제33권 제5호Lightlike 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 제5호HALF LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION진대호장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제3호

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