Projective Geometry of Randers Spaces

Xinyue Cheng () and Zhongmin Shen ()
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Xinyue Cheng: Chongqing University of Technology, School of Mathematics and Statistics
Zhongmin Shen: Indiana University-Purdue University Indianapolis (IUPUI), Department of Mathematical Sciences

Chapter Chapter 5 in Finsler Geometry, 2012, pp 61-75 from Springer

Abstract: Abstract Consider a spray $$ G = y^i \frac{\partial } {{\partial x^i }} - 2G^i \frac{\partial } {{\partial y^i }} $$ on an n-dimensional manifold M. The geodesics of G are locally characterized by (5.1) $$ \frac{{d^2 x^i }} {{dt^2 }} + 2G^i \left( {x,\frac{{dx}} {{dt}}} \right) = 0.$$

Keywords: Projective Geometry; Finsler Space; Finsler Geometry; Finsler Metrics; Weyl Curvature (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-24888-7_5

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