On a New Class of Projectively Flat Finsler Metrics

GUO En-li, ZHU Hong-mei. On a New Class of Projectively Flat Finsler Metrics[J]. Journal of Beijing University of Technology, 2011, 37(8): 1217-1220.

Citation:

GUO En-li, ZHU Hong-mei. On a New Class of Projectively Flat Finsler Metrics[J]. Journal of Beijing University of Technology, 2011, 37(8): 1217-1220.

Citation:

GUO En-li, ZHU Hong-mei. On a New Class of Projectively Flat Finsler Metrics[J]. Journal of Beijing University of Technology, 2011, 37(8): 1217-1220.

Abstract

In this paper,we obtain a sufficient and necessary condition for F=αФ(b²,s) to be projectively flat on an open subset U⊂Rⁿ by Hamel's projective flatness equation.The class of Finsler metrics contain Finsler metrics of constant flag curvature K=1 on Sn constructed by R.Bryant,whose geodesics are great circles.

FullText(HTML)

Turn off MathJax

Article Contents

Export File