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On Some Non-Riemannian Quantities in Finsler Geometry

  Published:2011-10-05
 Printed: Mar 2013
  • Zhongmin Shen,
    Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province 310027, P.R. China
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Abstract

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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