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- Title
(α,β)-Metrics Satisfying the T-Condition or the σT-Condition.
- Authors
Elgendi, Salah G.; Kozma, László
- Abstract
We describe the (α , β) -metrics whose the T-tensor vanishes (T-condition) and the (α , β) -metrics that satisfy the σ T -condition σ h T ijk h = 0 , where σ h = ∂ σ ∂ x h and σ is a smooth function on M. These classes have already been obtained by Shen and Asanov in a completely different approach. The Finsler metrics of the first class are Berwaldian, the metrics of the second class are almost regular non-Berwaldian Landsberg metrics.
- Publication
Journal of Geometric Analysis, 2021, Vol 31, Issue 8, p7866
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-020-00555-3