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On generalized Douglas-Weyl Randers metrics

Tayebeh Tabatabaeifar, Behzad Najafi, Mehdi 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...

On isotropic Berwald metrics

Akbar Tayebi, Behzad Najafi (2012)

Annales Polonici Mathematici

We prove that every isotropic Berwald metric of scalar flag curvature is a Randers metric. We study the relation between an isotropic Berwald metric and a Randers metric which are pointwise projectively related. We show that on constant isotropic Berwald manifolds the notions of R-quadratic and stretch metrics are equivalent. Then we prove that every complete generalized Landsberg manifold with isotropic Berwald curvature reduces to a Berwald manifold. Finally, we study C-conformal changes of isotropic...

On projectable objects on fibred manifolds

Vasile Cruceanu, Marcela Popescu, Paul Popescu (2001)

Archivum Mathematicum

The aim of this paper is to study the projectable and N -projectable objects (tensors, derivations and linear connections) on the total space E of a fibred manifold ξ , where N is a normalization of ξ .

On special Berwald metrics.

Tayebi, Akbar, Peyghan, Esmaeil (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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