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Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection

Mobin Ahmad|Cihan Ozgur|Abdul Haseeb
경북대학교 자연과학대학 수학과|2009.09|Kyungpook Mathematical Journal|제49권 제3호|pp. 533-543

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hypersurfacesalmost r-paracontact Riemannian manifoldquarter symmetric non-metric connection
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초록

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

Abstract

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

참고문헌 (11)

  1. Ahmad, M, "Hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a semi- symmetric non-metric connection", Results in Mathematics, ~ (2009)
  2. Mobin Ahmad, "Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection", 대한수학회보, 46(3), pp.477~487 (2009), 대한수학회
  3. Bucki, A, "Almost r-paracontact structures of P-Sasakian type", Tensor, N.S, 42, pp.42~54 (1985)
  4. Bucki, A, "Hypersurfaces of almost r-paracontact Riemannian manifold", Tensor, N.S, 48, pp.245~251 (1989)
  5. Bucki, A, "Almost r-paracontact structures", Ann. Univ. Mariae Curie-Sklowska, Sect, 39, pp.13~26 (1985)
  6. Bucki, A, "Invariant hypersurfaces of an almost r-paracontact manifold", Demonstratio Math, 19, pp.113~121 (1986)
  7. Chen, B.Y, "Geometry of Submanifolds" (1973), Marcel Dekker
  8. Golab, S, "On semi-symmetric and quarter-symmetric linear connections", Tensor (N.S.), 29(3), pp.249~254 (1975)
  9. 전재복, "Hypersurfaces of almost r-paracontact Riemannian manifold endowed with semi-symmetric metric connection", 대한수학회보, 46(5), pp.895~903 (2009), 대한수학회
  10. Mihai, I, "Submanifolds of an almost r-paracontact Riemannian manifold of P-Sasakian type", Tensor (N.S.), 48(2), pp.136~142 (1989)
  11. Tripathi, M. M, "A new connection in a Riemannian manifold", Int. Elec. J. Geom, 1(10), pp.15~24 (2008)

관련 논문AI추천

Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection전재복, Abdul Haseeb, Mobin Ahmad대한수학회 · 대한수학회보2009 · 제46권 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 제2호ON 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 quarter-symmetric metric connectionDae Ho Jin대한수학회 · 대한수학회보2015 · 제52권 제1호Lightlike hypersurfaces of an indefinite generalized Sasakian space form with a symmetric metric connection of type $(\ell,\,m)$진대호대한수학회 · 대한수학회논문집2016 · 제31권 제3호

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