Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2009; 46(3): 477-487

Printed May 1, 2009

https://doi.org/10.4134/BKMS.2009.46.3.477

Copyright © The Korean Mathematical Society.

Hypersurfaces of almost $r$-paracontact Riemannian manifold endowed with a quarter symmetric metric connection

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