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 SEMI-SYMMETRIC NON-METRIC CONNECTION

  • Ahmad, Mobin (Department of Mathematics, Integral University) ;
  • Jun, Jae-Bok (Department of Mathematics, Kook-Min University)
  • Received : 2009.07.18
  • Accepted : 2009.11.06
  • Published : 2009.12.30
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Abstract

We define a semi-symmetric non-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 non-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 non-metric connection.

Keywords

Acknowledgement

Supported by : Kookmin University

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