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arxiv: 0807.3045 · v1 · submitted 2008-07-18 · 🧮 math.DG

Osserman and conformally Osserman manifolds with warped and twisted product structure

classification 🧮 math.DG
keywords ossermanproductmanifoldsstructuretwistedconformallywarpedanalyze
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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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