Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A QUARTER-SYMMETRIC NON-METRIC CONNECTION

  • Ahmad, Mobin (Department of Mathematics Integral University) ;
  • Jun, Jae-Bok (Department of Mathematics Kookmin University) ;
  • Haseeb, Abdul (Department of Mathematics Integral University)
  • Received : 2010.12.31
  • Accepted : 2011.02.15
  • Published : 2011.03.30
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Abstract

We define a quarter-symmetric non-metric connection in an almost r-paracontact Riemannian manifold and we consider the submanifolds of an almost r-paracontact Riemannian manifold endowed with a quarter-symmetric non-metric connection. We also obtain the Gauss, Codazzi and Weingarten equations and the curvature tensor for the submanifolds of an almost r-paracontact Riemannian manifold endowed with a quarter-symmetric non-metric connection.

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References

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