2013/02/12 by Akbar Tayebi, A. Tayebi, Tayebi, A. +2
Mathematics · Physics and Astronomy · #53C25 #53C60 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C25 #msc:53C60
paper · pdf · doi:10.48550/arxiv.1302.3271
arXiv admin note: text overlap with arXiv:1001.3654
arxiv created 2013/02/12 · openalex publication_date 2013/02/12 · arxiv updated 2013/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we construct a new class of Finsler manifolds called generalized isotropic Berwald manifolds which is an extension of the class of isotropic Berwald manifolds. We prove that every generalized isotropic Berwald manifold is a generalized Douglas-Weyl manifold. On a compact generalized isotropic Berwald manifold, we show that the notions of stretch and Landsberg curvatures are equivalent. Then we prove that on these manifolds, a Finsler metric is R-quadratic if and only if it is a stretch metric with vanishing E -curvature. Finally, we determine the flag curvature of generalized isotropic Berwald manifold with scalar flag curvature.