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

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DOI

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
@article{10_4153_CMB_2016_102_x,
     author = {Chen, Bin and Zhao, Lili},
     title = {On a {Yamabe} {Type} {Problem} in {Finsler} {Geometry}},
     journal = {Canadian mathematical bulletin},
     pages = {253--268},
     year = {2017},
     volume = {60},
     number = {2},
     doi = {10.4153/CMB-2016-102-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-102-x/}
}
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