Finsler Spaces of Scalar Curvature

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

Chapter Chapter 11 in Differential Geometry of Spray and Finsler Spaces, 2001, pp 153-171 from Springer

Abstract: Abstract By Definition 8.2.3, a Finsler metric is of scalar curvature if the Riemann curvature is in the following form 11.1 $$ {R_y}(u) = \lambda (y)\left\{ {{g_y}(y,y)u - {g_y}(y,u)y} \right\}.$$

Keywords: Scalar Curvature; Gauss Curvature; Constant Curvature; Riemannian Space; Riemannian Metrics (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-94-015-9727-2_12

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