@article {
author = {Kozma, Laszlo and Abbas, Sameer},
title = {On new classes of stretch Finsler metrics},
journal = {Journal of Finsler Geometry and its Applications},
volume = {3},
number = {1},
pages = {86-99},
year = {2022},
publisher = {University of Mohaghegh Ardabili},
issn = {2783-0500},
eissn = {2783-0500},
doi = {10.22098/jfga.2022.10115.1058},
abstract = {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).},
keywords = {stretch curvature,complete stretch metric,Berwald curvature,H-curvature,relatively isotropic stretch curvature},
url = {https://jfga.uma.ac.ir/article_1669.html},
eprint = {https://jfga.uma.ac.ir/article_1669_b761450e56bc457c2aa2c6cca778a120.pdf}
}