Geodesic
On Negatively Curved Finsler Manifolds of Scalar Curvature
Canadian mathematical bulletin, Tome 48 (2005) no. 1, pp. 112-120

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DOI

In this paper, we prove a global rigidity theorem for negatively curved Finsler metrics on a compact manifold of dimension $n\,\ge \,3$ . We show that for such a Finsler manifold, if the flag curvature is a scalar function on the tangent bundle, then the Finsler metric is of Randers type. We also study the case when the Finsler metric is locally projectively flat.
DOI : 10.4153/CMB-2005-010-3
Mots-clés : 53C60 
Mo, Xiaohuan; Shen, Zhongmin. On Negatively Curved Finsler Manifolds of Scalar Curvature. Canadian mathematical bulletin, Tome 48 (2005) no. 1, pp. 112-120. doi: 10.4153/CMB-2005-010-3
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     title = {On {Negatively} {Curved} {Finsler} {Manifolds} of {Scalar} {Curvature}},
     journal = {Canadian mathematical bulletin},
     pages = {112--120},
     year = {2005},
     volume = {48},
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     doi = {10.4153/CMB-2005-010-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-010-3/}
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