1Faculty of Science, Department of Mathematics, University of Qom, Iran 2Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 335-342
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Akbar Tayebi; Morteza Faghfuri; Nadereh Jazer; Akbar Tayebi; Morteza Faghfuri; Nadereh Jazer. On mean stretch curvatures of Finsler metrics. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 335-342. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a11/
@article{AMUC_2020_89_2_a11,
author = {Akbar Tayebi and Morteza Faghfuri and Nadereh Jazer and Akbar Tayebi and Morteza Faghfuri and Nadereh Jazer},
title = { On mean stretch curvatures of {Finsler} metrics},
journal = {Acta mathematica Universitatis Comenianae},
pages = {335--342},
year = {2020},
volume = {89},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a11/}
}
TY - JOUR
AU - Akbar Tayebi
AU - Morteza Faghfuri
AU - Nadereh Jazer
AU - Akbar Tayebi
AU - Morteza Faghfuri
AU - Nadereh Jazer
TI - On mean stretch curvatures of Finsler metrics
JO - Acta mathematica Universitatis Comenianae
PY - 2020
SP - 335
EP - 342
VL - 89
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a11/
ID - AMUC_2020_89_2_a11
ER -
%0 Journal Article
%A Akbar Tayebi
%A Morteza Faghfuri
%A Nadereh Jazer
%A Akbar Tayebi
%A Morteza Faghfuri
%A Nadereh Jazer
%T On mean stretch curvatures of Finsler metrics
%J Acta mathematica Universitatis Comenianae
%D 2020
%P 335-342
%V 89
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a11/
%F AMUC_2020_89_2_a11
In this paper, we prove that every compact Finsler metric with positive (or negative) relatively isotropic mean stretch curvature is a weakly Landsberg metric. Then, we show that weakly stretch Finsler surface has vanishing ${\bf \tilde{B}}$-curvature if and only if it has vanishing ${\bf H}$-curvature.
