TY - JOUR
ID - 1669
TI - On new classes of stretch Finsler metrics
JO - Journal of Finsler Geometry and its Applications
JA - JFGA
LA - en
SN -
AU - Kozma, Laszlo
AU - Abbas, Sameer Annon
AD - Institute of Mathematics, University of Debrecen, H-4002 Debrecen, Pf. 400,
Hungary
AD - Doctoral School of Mathematical and Computational Sciences, Institute of
Mathematics, University of Debrecen, H-4002 Debrecen, Pf. 400, Hungary
Y1 - 2022
PY - 2022
VL - 3
IS - 1
SP - 86
EP - 99
KW - stretch curvature
KW - complete stretch metric
KW - Berwald curvature
KW - H-curvature
KW - relatively isotropic stretch curvature
DO - 10.22098/jfga.2022.10115.1058
N2 - 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).
UR - https://jfga.uma.ac.ir/article_1669.html
L1 - https://jfga.uma.ac.ir/article_1669_b761450e56bc457c2aa2c6cca778a120.pdf
ER -