ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Characterizations for twisted product manifolds
to be warped product manifolds


S. Kazan and B. Sahin

Received: October 30, 2012;   Accepted: May 7, 2013



Abstract.   In this paper, we give characterizations for a twisted product manifold to be a warped product manifold by imposing certain conditions on Weyl conformal curvature tensor and Weyl projective tensor. We also find similar results for multiply twisted product manifolds.  

Keywords:  twisted product; warped product; Ricci curvature tensor; Weyl curvature tensor  

AMS Subject classification: Primary:  53C50, 53C42  


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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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