Non-Riemannian Quantities

Zhongmin Shen ()
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Zhongmin Shen: Indiana University-Purdue University at Indianapolis, Department of Mathematical Sciences

Chapter Chapter 6 in Differential Geometry of Spray and Finsler Spaces, 2001, pp 77-93 from Springer

Abstract: Abstract In this chapter, we will introduce several geometric quantities for sprays and Finsler metrics. These quantities always vanish for Riemannian spaces. Therefore, they are said to be non-Riemannian. The most important non-Riemannian quantity was introduced by L. Berwald [Bwl] [Bw2] [Bw8] for Finsler metrics. Who is L. Berwald?

Keywords: Local Coordinate System; Riemannian Space; Geometric Quantity; Finsler Space; Finsler Metrics (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-015-9727-2_7

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