EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 89(103), pp. 77–88 (2011)

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ON EXTENDED GENERALIZED $\phi$-RECURRENT $\beta$-KENMOTSU MANIFOLDS

Absos Ali Shaikh and Shyamal Kumar Hui

University of Burdwan, Burdwan-713104, West Bengal, India

Abstract: We extend the notion of generalized $\phi$-recurrent $\beta$-Kenmotsu manifold and study its various geometric properties with the existence of such notion.

Keywords: generalized recurrent Kenmotsu manifold, generalized $\phi$-recurrent Kenmotsu manifold, extended generalized $\phi$-recurrent $\beta$-Kenmotsu manifold, Einstein manifold, scalar curvature

Classification (MSC2000): 53C15; 53C25

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