Split curvature
We consider spaces with a special kind of Riemannian tensor. It is proved that they are semisymmetric spaces. These spaces are divided into three types and we investigate nontrivial geodesic mappings for each type. In particular, it is proved that if these spaces admit nontrivial geodesic mappings, then they have a constant scalar curvature.
Authors
- Volodymyr Kiosak (ORCID: https://orcid.org/0000-0002-7433-6709)
- В. І. Кузьмич (ORCID: https://orcid.org/0000-0002-8150-3456)
- O. Latysh
Institutions
- California Maritime Academy (US)
- Odessa State Academy of Civil Engineering and Architecture (UA)
- Kherson State University (UA)
Publication Details
- Journal
- Proceedings of the International Geometry Center
- Published
- 2024-12-22
- DOI
- https://doi.org/10.15673/pigc.v17i3.2817
- Citations
- 1
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.33