Osserman and conformally Osserman manifolds with warped and twisted product structure
Differential Geometry
2008-07-22 v1
Abstract
We characterize Osserman and conformally Osserman Riemannian manifolds with the local structure of a warped product. By means of this approach we analyze the twisted product structure and obtain, as a consequence, that the only Osserman manifolds which can be written as a twisted product are those of constant curvature.
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Cite
@article{arxiv.0807.3045,
title = {Osserman and conformally Osserman manifolds with warped and twisted product structure},
author = {M. Brozos-Vazquez and E. Garcia-Rio and R. Vazquez-Lorenzo},
journal= {arXiv preprint arXiv:0807.3045},
year = {2008}
}