On geodesic mappings in a particular class of Roter spaces

Ryszard Deszcz, Marian Hotloś Colloquium Mathematicum 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.

Authors

  • Ryszard DeszczDepartment of Applied Mathematics
    Wrocław University of
    Environmental and Life Sciences
    Grunwaldzka 53
    50-357 Wrocław, Poland
    e-mail
  • Marian HotlośDepartment of Applied Mathematics
    Wrocław University of
    Science and Technology
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    e-mail

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