On geodesic mappings in particular class of Roter spaces

2018/12/03 by Ryszard Deszcz, Deszcz, Ryszard, Marian Hotloś +1
Mathematics · #53B20 #53C21 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B20 #msc:53C21

paper · pdf · doi:10.48550/arxiv.1812.00670

arxiv created 2020/01/27 · arxiv updated 2020/01/28

Abstract

We determine a particular class of Roter type warped product manifolds. We show that every manifold of that class admits a geodesic mapping onto a some Roter type warped product manifold. Moreover, both geodesically related manifolds are pseudosymmetric of constant type.

Cited by

• Hypersurfaces in space forms satisfying some generalized Einstein metric condition

Related

• On warped product generalized Roter type manifold
• Warped product hypersurfaces in the pseudo-Euclidean space
• On the geometry of Clairaut warped product Riemannian maps
• A note on doubly warped product spaces
• On warped product manifolds satisfying some pseudosymmetric type conditions