Geodesic
On a Yamabe Type Problem in Finsler Geometry
Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 253-268

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, a newnotion of scalar curvature for a Finsler metric $F$ is introduced, and two conformal invariants $Y(M,F)$ and $C(M,F)$ are defined. We prove that there exists a Finsler metric with constant scalar curvature in the conformal class of $F$ if the Cartan torsion of $F$ is sufficiently small and $Y(M,F)C(M,F) where $Y({{\mathbb{S}}^{n}})$ is the Yamabe constant of the standard sphere.
DOI : 10.4153/CMB-2016-102-x
Mots-clés : 53C60, 58B20, Finsler metric, scalar curvature, Yamabe problem 
Chen, Bin; Zhao, Lili. On a Yamabe Type Problem in Finsler Geometry. Canadian mathematical bulletin, Tome 60 (2017) no. 2, pp. 253-268. doi: 10.4153/CMB-2016-102-x
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