On a New Class of Projectively Flat Finsler Metrics

GUO En-li; ZHU Hong-mei

doi:10.3969/j.issn.0254-0037.2011.08.015

Journal of Beijing University of Technology > 2011 > 37(8): 1217-1220. > DOI: 10.3969/j.issn.0254-0037.2011.08.015

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. DOI: 10.3969/j.issn.0254-0037.2011.08.015

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. DOI: 10.3969/j.issn.0254-0037.2011.08.015

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. DOI: 10.3969/j.issn.0254-0037.2011.08.015

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On a New Class of Projectively Flat Finsler Metrics

College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Received Date: May 06, 2009
Available Online: November 18, 2022

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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.
- projectively flat,
- (α,
- β)-metrics,
- generalized(α,
- β)-metrics,
- Finsler geometry

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References

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