Projective Geometry of Randers Spaces

  • Xinyue Cheng
  • Zhongmin Shen


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
$$ \frac{{d^2 x^i }} {{dt^2 }} + 2G^i \left( {x,\frac{{dx}} {{dt}}} \right) = 0.$$


Projective Geometry Finsler Space Finsler Geometry Finsler Metrics Weyl Curvature 
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Copyright information

© Science Press Beijing and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Xinyue Cheng
    • 1
  • Zhongmin Shen
    • 2
  1. 1.School of Mathematics and StatisticsChongqing University of TechnologyLijiatuo, ChongqingChina
  2. 2.Department of Mathematical SciencesIndiana University-Purdue University Indianapolis (IUPUI)IndianapolisUSA

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