Osserman and conformally Osserman manifolds with warped and twisted product structure

2008/07/18 by Brozos-Vazquez, M., Garcia-Rio, E., Vazquez-Lorenzo, R.
#53C20 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0807.3045

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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