Geodesic
Some rigidity theorems for Finsler manifolds of sectional flag curvature
Archivum mathematicum, Tome 46 (2010) no. 2, pp. 99-104.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In this paper we study some rigidity properties for Finsler manifolds of sectional flag curvature. We prove that any Landsberg manifold of non-zero sectional flag curvature and any closed Finsler manifold of negative sectional flag curvature must be Riemannian.
Classification : 53B40, 53C60
Keywords: Finsler manifold; Landsberg manifold; scalar flag curvature; sectional flag curvature; Cartan tensor 
@article{ARM_2010__46_2_a2,
     author = {Wu, Bing Ye},
     title = {Some rigidity theorems for {Finsler} manifolds of sectional flag curvature},
     journal = {Archivum mathematicum},
     pages = {99--104},
     publisher = {mathdoc},
     volume = {46},
     number = {2},
     year = {2010},
     mrnumber = {2684252},
     zbl = {1240.53131},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a2/}
}
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Wu, Bing Ye. Some rigidity theorems for Finsler manifolds of sectional flag curvature. Archivum mathematicum, Tome 46 (2010) no. 2, pp. 99-104. http://geodesic.mathdoc.fr/item/ARM_2010__46_2_a2/