Honam Mathematical Journal (호남수학학술지)

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SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC METRIC CONNECTION

  • Ahmad, Mobin (Department of Mathematics, Integral University) ;
  • Jun, Jae-Bok (Department of Mathematics, College of Natural Science, Kook-Min University)
  • Received : 2010.07.29
  • Accepted : 2010.08.03
  • Published : 2010.09.25
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Abstract

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

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References

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