Original Article
Kyungpook Mathematical Journal 2009; 49(3): 533-543
Published online September 23, 2009
Copyright © Kyungpook Mathematical Journal.
Hypersurfaces of an almost $r$-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection
Mobin Ahmad1, Abdul Haseeb1, Cihan "{O}zg"{u}r$^{ast}$ 2
1Department of Applied Mathematics, Integral University, Kursi Road, Lucknow-226026, India
2Department of Mathematics, Bali kesir University, 10145, c{C}au{g}i c{s}, Bali kesir, Turkey
We define a quarter symmetric non-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 non-metric connection.
Keywords: hypersurfaces, almost $r$-paracontact Riemannian manifold, quarter symmetric non-metric connection