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(5): 895-903

Printed September 1, 2009

https://doi.org/10.4134/BKMS.2009.46.5.895

Copyright © The Korean Mathematical Society.

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

Jae-Bok Jun and Mobin Ahmad

Kook-Min University and Integral University

Abstract

We define a semi-symmetric metric connection in an almost $r$-paracontact Riemannian manifold and we consider invariant, non-invari-ant and anti-invariant hypersurfaces of an almost $r$-paracontact Riemannian manifold endowed with a semi-symmetric metric connection.

Keywords: hypersurface, almost $r$-paracontact Riemannian manifold, semi-symmetric metric connection

MSC numbers: 53D12, 53C05