# On geodesic mappings in particular class of Roter spaces

**Authors:** Ryszard Deszcz, Marian Hotlo\'s

arXiv: 1812.00670 · 2020-01-28

## TL;DR

This paper classifies a specific class of Roter type warped product manifolds and demonstrates that each admits a geodesic mapping onto another Roter type manifold, with both being pseudosymmetric of constant type.

## Contribution

It identifies a particular class of Roter type warped product manifolds and establishes the existence of geodesic mappings between them, both being pseudosymmetric of constant type.

## Key findings

- Every manifold in the class admits a geodesic mapping.
- Both manifolds in the mapping are pseudosymmetric of constant type.
- The classification of Roter type warped product manifolds is achieved.

## 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.

## Full text

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## References

68 references — full list in the complete paper: https://tomesphere.com/paper/1812.00670/full.md

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Source: https://tomesphere.com/paper/1812.00670