On geodesic mappings in a particular class of Roter spaces
Volume 166 / 2021
Colloquium Mathematicum 166 (2021), 267-290
MSC: Primary 53B20, 53B21.
DOI: 10.4064/cm7797-1-2021
Published online: 17 May 2021
Abstract
We determine a particular class of Roter warped product spaces. We show that every manifold of that class admits a non-trivial geodesic mapping onto some Roter warped product space. Moreover, both geodesically related manifolds are pseudosymmetric of constant type.