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Volume :39 Issue : 1 2012
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Hypersurfaces of Kenmotsu manifolds endowed with a quarter-symmetric non-metric connection
Auther : UDAY CHAND DE* AND ABUL KALAM MONDAL**
*Department of Pure Mathematics, University of Calcutta, 35, B. C. Road, West Bengal, Kolkata-700019, INDIA e-mail: uc_de@yahoo.com
** Abul Kalam Mondal, Department of Mathematics, Dum Dum Motijheel Rabindra Mahavidyalaya, Dum Dum Road, Kolkata-700074, West Bengal, INDIA e-mail: kalam_ju@yahoo.co.in.
ABSTRACT
The object of the present paper is to define a quarter-symmetric non-metric connection in a Kenmotsu manifold and consider non-invariant and anti-invariant hypersurfaces of Kenmotsu manifold endowed with a quarter-symmetric non-metric connection. Finally, we obtain the Gauss and Codazzi equations with respect to a quarter-symmetric non- metric connection.
Keywords: Codazzi equations; Gauss equations; hypersurfaces; Kenmotsu manifold;
quarter-symmetric non-metric connection.
AMS Subject Classification: 53D12; 53C05.