We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On Homogeneous Finsler Manifolds with Some Curvature Properties.
- Authors
Kamelaei, Farzaneh; Tayebi, Akbar; Najafi, Behzad
- Abstract
We prove a rigidity result for homogeneous generalized Douglas–Weyl metrics of Landsberg-type. We show that such metrics have constant H -curvature along geodesics. Then, we prove that every homogeneous D-recurrent Finsler metric is a Douglas metric. It turns out that a homogeneous D-recurrent (α , β) -metric is a Randers metric or Berwaldian metric, generalizing the result known only in the case of Douglas metrics. Finally, we show that homogeneous generalized isotropic L-reducible metrics are Randers metrics or L-reducible metrics.
- Subjects
CURVATURE; GEODESICS
- Publication
Bulletin of the Iranian Mathematical Society, 2022, Vol 48, Issue 5, p2685
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-021-00664-x