A Class of Finsler Metrics with Bounded Cartan Torsion
Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 122-132
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In this paper, we find a class of $\left( \alpha ,\,\beta\right)$ metrics which have a bounded Cartan torsion. This class contains all Randers metrics. Furthermore, we give some applications and obtain two corollaries about curvature of this metrics.
Mots-clés :
58E20, Finsler manifold, (α, β) metric, Cartan torsion, R-quadratic, flag curvature
Mo, Xiaohuan; Zhou, Linfeng. A Class of Finsler Metrics with Bounded Cartan Torsion. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 122-132. doi: 10.4153/CMB-2010-026-8
@article{10_4153_CMB_2010_026_8,
author = {Mo, Xiaohuan and Zhou, Linfeng},
title = {A {Class} of {Finsler} {Metrics} with {Bounded} {Cartan} {Torsion}},
journal = {Canadian mathematical bulletin},
pages = {122--132},
year = {2010},
volume = {53},
number = {1},
doi = {10.4153/CMB-2010-026-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-026-8/}
}
TY - JOUR AU - Mo, Xiaohuan AU - Zhou, Linfeng TI - A Class of Finsler Metrics with Bounded Cartan Torsion JO - Canadian mathematical bulletin PY - 2010 SP - 122 EP - 132 VL - 53 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-026-8/ DO - 10.4153/CMB-2010-026-8 ID - 10_4153_CMB_2010_026_8 ER -
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