In this paper we study several non-Riemannian quantities in Finsler geometry. These non-Riemannian quantities play an important role in understanding the geometric properties of Finsler metrics. In particular, we study a new non-Riemannian quantity defined by the S-curvature. We show some relationships among the flag curvature, the S-curvature, and the new non-Riemannian quantity.

Keywords:

Finsler metric, S-curvature, non-Riemannian quantity Finsler metric, S-curvature, non-Riemannian quantity

MSC Classifications:

53C60, 53B40 show english descriptions Finsler spaces and generalizations (areal metrics) [See also 58B20]
Finsler spaces and generalizations (areal metrics) 53C60 - Finsler spaces and generalizations (areal metrics) [See also 58B20]
53B40 - Finsler spaces and generalizations (areal metrics)

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