Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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HYPERSURFACES OF ALMOST γ-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTION

  • Jun, Jae-Bok (DEPARTMENT OF MATHEMATICS COLLEGE OF NATURAL SCIENCE KOOK-MIN UNIVERSITY) ;
  • Ahmad, Mobin (DEPARTMENT OF MATHEMATICS INTEGRAL UNIVERSITY)
  • Published : 2009.09.30
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Abstract

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

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References

  1. M. Ahmad, J.-B. Jun, and A. Haseeb, Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection, Bull. Korean Math. Soc. 46 (2009), no. 3, 477–487 https://doi.org/10.4134/BKMS.2009.46.3.477
  2. M. Ahmad and C. Ozgur, Hypersurfaces of almost r-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection, Results in Mathematics, Accepted https://doi.org/10.1007/s00025-009-0395-8
  3. A. Bucki, Hypersurfaces of almost r-paracontact Riemannian manifolds, Tensor (N.S.) 48 (1989), no. 3, 245–251
  4. A. Bucki, Almost r-paracontact structures of P-Sasakian type, Tensor (N.S.) 42 (1985), no. 1, 42–54
  5. A. Bucki and A. Miernowski, Almost r-paracontact structures, Ann. Univ. Mariae Curie- Sklodowska Sect. A 39 (1985), 13–26
  6. B. Y. Chen, Geometry of Submaifolds, Marcel Dekker, New York, 1973
  7. A. Friedmann and J. A. Schouten, Uber die geometrie der halbsymmetrischen ubertrangung, Math. Z. 21 (1924), no. 1, 211–223 https://doi.org/10.1007/BF01187468
  8. J. A. Schouten, Ricci Calculus, Springer, 1954
  9. K. Yano, On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15 (1970), 1579–1586