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Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection

전재복|Mobin Ahmad|Abdul Haseeb
대한수학회 (The Korean Mathematical Society)|2009.05|대한수학회보 (Bulletin of the KMS)|제46권 제3호|pp. 477-487

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참고문헌

키워드

quarter symmetric metric connectionhypersurfacesalmost r-paracontact Riemannian manifold
주제분류수학

초록

We define a quarter symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant,non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection.

Abstract

We define a quarter symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant,non-invariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection.

참고문헌 (10)

  1. T. Adati, "Hypersurfaces of almost paracontact Riemannian manifolds", TRU Math, 17(2), pp.189~198 (1981)
  2. M. Ahmad, "Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a quarter symmetric non-metric connection", Accepted at Kyungpook Math. J.
  3. A. Bucki, "Hypersurfaces of almost r-paracontact Riemannian manifolds", Tensor (N.S.), 48(3), pp.245~251 (1989)
  4. A. Bucki, "Invariant hypersurfaces of an almost r-paracontact manifold", Demonstratio Math, 19(1), pp.113~121 (1986)
  5. B. Y. Chen, "Geometry of Submanifolds, Pure and Applied Mathematics" (1973), Marcel Dekker, Inc
  6. S. Golab, "On semi-symmetric and quarter symmetric linear connections", Tensor (N.S.), 29(3), pp.249~254 (1975)
  7. I. Mihai, "Submanifolds of an almost r-paracontact Riemannian manifold of P-Sasakian type", Tensor (N.S.), 48(2), pp.136~142 (1989)
  8. R. S. Mishra, "On quarter symmetric metric F-connections", Tensor (N.S.), 34(1), pp.1~7 (1980)
  9. S. C. Rastogi, "On quarter symmetric metric connection", C. R. Acad. Bulgare Sci, 31(7), pp.811~814 (1978)
  10. S. C. Rastogi, "On quarter symmetric metric connections", Tensor (N.S.), 44(2), pp.133~141 (1987)

관련 논문AI추천

Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric ConnectionAbdul Haseeb, Cihan Ozgur, Mobin Ahmad경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호Hypersurfaces of almost r-paracontact Riemannian manifold endowed with semi-symmetric metric connection전재복, Mobin Ahmad대한수학회 · 대한수학회보2009 · 제46권 제5호ON ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD WITH A CERTAIN CONNECTION전재복, Abdul Haseeb, Mobin Ahmad, Shamsur Rahman대한수학회 · 대한수학회논문집2010 · 제25권 제2호Lightlike hypersurfaces of an indefinite Kaehler manifold with a quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION전재복, Mobin Ahmad한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(\ell,\,m)$Dae Ho Jin대한수학회 · 대한수학회보2016 · 제53권 제4호

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