The General (α, β)-metrics with Quadratic Curvatures
In this paper, we consider the Riemannian curvature of one of the most important metric in Finsler geometry called general (α, β)- metrics, where α is a Riemannian metric and β is 1-form. We give a complete classification of the metrics to be R-quadratic and Ricci-quadratic.
Authors
- Mehran Gabrani (ORCID: https://orcid.org/0000-0002-4489-0477)
- Esra Şengelen Sevim (ORCID: https://orcid.org/0000-0003-1296-0845)
- Bahman Rezaei (ORCID: https://orcid.org/0000-0002-0000-2511)
Institutions
- Istanbul Bilgi University (TR)
- Urmia University (IR)
Publication Details
- Journal
- Iranian Journal of Mathematical Sciences and Informatics
- Published
- 2025-04-01
- DOI
- https://doi.org/10.61186/ijmsi.20.1.69
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00