ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXXI, 2 (2013)
p. 253 - 263

Characterizations of 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 of a twisted product manifold to be a warped product manifold by imposing certain conditions on the Weyl conformal curvature tensor and the 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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