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arXiv · 0807.3045

Osserman and conformally Osserman manifolds with warped and twisted product structure

M. Brozos-Vazquez·E. Garcia-Rio·R. Vazquez-Lorenzo
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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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M. Brozos-Vazquez, E. Garcia-Rio, R. Vazquez-Lorenzo. 2008-07-18. Osserman and conformally Osserman manifolds with warped and twisted product structure. https://arxiv.org/abs/0807.3045

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