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On generalized Douglas-Weyl Randers metrics

Tayebeh TabatabaeifarBehzad NajafiMehdi Rafie-Rad — 2021

Czechoslovak Mathematical Journal

We characterize generalized Douglas-Weyl Randers metrics in terms of their Zermelo navigation data. Then, we study the Randers metrics induced by some important classes of almost contact metrics. Furthermore, we construct a family of generalized Douglas-Weyl Randers metrics which are not R -quadratic. We show that the Randers metric induced by a Kenmotsu manifold is a Douglas metric which is not of isotropic S -curvature. We show that the Randers metric induced by a Kenmotsu or Sasakian manifold is...

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