On Some Non-Riemannian Quantities in Finsler Geometry
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 184-193
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In this paper we study several non-Riemannian quantities in Finsler geometry. These non-Riemannian quantities play an important role in understanding the geometric properties of Finsler metrics. In particular, we study a new non-Riemannian quantity defined by the $\text{S}$ -curvature. We show some relationships among the flag curvature, the $\text{S}$ -curvature, and the new non-Riemannian quantity.
Mots-clés :
53C60, 53B40, Finsler metric, S-curvature, non-Riemannian quantity
Shen, Zhongmin. On Some Non-Riemannian Quantities in Finsler Geometry. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 184-193. doi: 10.4153/CMB-2011-163-4
@article{10_4153_CMB_2011_163_4,
author = {Shen, Zhongmin},
title = {On {Some} {Non-Riemannian} {Quantities} in {Finsler} {Geometry}},
journal = {Canadian mathematical bulletin},
pages = {184--193},
year = {2013},
volume = {56},
number = {1},
doi = {10.4153/CMB-2011-163-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-163-4/}
}
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