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Characterizations of twisted product manifolds to be warped product manifolds

Author(s): S. Kazan | B. Sahin

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXII;
Issue: 2;
Start page: 253;
Date: 2013;
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Keywords: twisted product | warped product | Ricci curvature tensor | Weyl curvature tensor

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.
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