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On Some Non-Riemannian Quantities in Finsler Geometry

Published online by Cambridge University Press:  20 November 2018

Zhongmin Shen
Zhongmin Shen*
Affiliation:
Center of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang Province 310027, P.R. China and Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis (IUPUI), Indianapolis, IN 46202-3216, USA e-mail: zshen@math.iupui.edu
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Abstract

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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 $\text{S}$-curvature. We show some relationships among the flag curvature, the $\text{S}$-curvature, and the new non-Riemannian quantity.

Keywords

53C6053B40Finsler metricS-curvaturenon-Riemannian quantity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 1 , 01 March 2013 , pp. 184 - 193
Copyright
Copyright © Canadian Mathematical Society 2013

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