Osserman and conformally Osserman manifolds with warped and twisted product structure

Details Osserman and conformally Osserman manifolds with warped and twisted product structure Osserman and conformally Osserman manifolds with warped and twisted product structure

2008-07-18

arxiv.org/abs/0807.3045v1

Mathematics

Differential Geometry

Scientific paper

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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