%0 Journal Article
%T On new classes of stretch Finsler metrics
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Kozma, Laszlo
%A Abbas, Sameer Annon
%D 2022
%\ 07/01/2022
%V 3
%N 1
%P 86-99
%! On new classes of stretch Finsler metrics
%K stretch curvature
%K complete stretch metric
%K Berwald curvature
%K H-curvature
%K relatively isotropic stretch curvature
%R 10.22098/jfga.2022.10115.1058
%X In this paper, we introduce two classes of stretch Finsler metrics. A Finsler metric with vanishing stretch B∼-curvature ( stretch H-curvature) is called B∼-stretch (H-stretch) metric (respectively). The class of B∼-stretch (H-stretch) metric contain the class of Berwald (weakly Berwald) metric (respectively). First, we show that every complete B∼-stretch metric (H-stretch metric) is a B∼-metric (H-metric). Then we prove that every compact Finsler manifold with non-negative (non-positive) relatively isotropic stretch B∼-curvature (stretch H-curvature) is B∼-metric (H-metric).
%U https://jfga.uma.ac.ir/article_1669_b761450e56bc457c2aa2c6cca778a120.pdf