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 Hypersurfaces of almost $r$-paracontact Riemannian manifold endowed with a quarter symmetric metric connection Bull. Korean Math. Soc. 2009 Vol. 46, No. 3, 477-487 https://doi.org/10.4134/BKMS.2009.46.3.477Printed May 1, 2009 Mobin Ahmad, Jae-Bok Jun, and Abdul Haseeb Integral University, Kookmin University, and Integral University Abstract : We define a quarter symmetric metric connection in an almost $r$-paracontact Riemannian manifold and we consider invariant, non-invariant and anti-invariant hypersurfaces of an almost $r$-paracontact Riemannian manifold endowed with a quarter symmetric metric connection. Keywords : hypersurfaces, almost $r$-paracontact Riemannian manifold, quarter symmetric metric connection MSC numbers : 53C05, 53D12 Downloads: Full-text PDF