Geodesic
Ricci Curvature Tensor and Non-Riemannian Quantities
Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 530-537

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DOI

There are several notions of Ricci curvature tensor in Finsler geometry and spray geometry. One of them is defined by the Hessian of the well-known Ricci curvature. In this paper we will introduce a new notion of Ricci curvature tensor and discuss its relationship with the Ricci curvature and some non-Riemannian quantities. Using this Ricci curvature tensor, we shall have a better understanding of these non-Riemannian quantities.
DOI : 10.4153/CMB-2014-063-4
Mots-clés : 53B40, 53C60, Finsler metrics, sprays, Ricci curvature, non-Riemanian quantity 
Li, Benling; Shen, Zhongmin. Ricci Curvature Tensor and Non-Riemannian Quantities. Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 530-537. doi: 10.4153/CMB-2014-063-4
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     title = {Ricci {Curvature} {Tensor} and {Non-Riemannian} {Quantities}},
     journal = {Canadian mathematical bulletin},
     pages = {530--537},
     year = {2015},
     volume = {58},
     number = {3},
     doi = {10.4153/CMB-2014-063-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2014-063-4/}
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