Geodesically equivalent metrics and Nijenhuis geometry
We show how concepts, methods and results from Nijenhuis geometry can be used to study geodesically equivalent metrics. We propose a new method of the presentation and proof of many facts in the classical theory of geodesically equivalent metrics and develop methods for the further development of this theory. Bibliography: 33 titles.
Authors
- Alexey V. Bolsinov (ORCID: https://orcid.org/0000-0001-6435-5810)
Institutions
- Loughborough University (GB)
- Institute of Mathematics and Mathematical Modeling (KZ)
Publication Details
- Journal
- Sbornik Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/sm10220e
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Education and Science of the Republic of Kazakhstan