On a class of projectively flat Finsler metrics

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Li_2015_on.pdf (162.54 KB)
Date
2016
Authors
Li, Benling
Shen, Zhongmin
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English
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Department of Mathematical Sciences, School of Science
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Abstract

In this paper, we study a class of Finsler metrics composed by a Riemann metric α=aij(x)yiyj and a 1-form β=bi(x)yi called general (α, β)-metrics. We classify those projectively flat when α is projectively flat. By solving the corresponding nonlinear PDEs, the metrics in this class are totally determined. Then a new group of projectively flat Finsler metrics is found.

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Finsler metric, projectively flat
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Li, B., & Shen, Z. (2016). On a class of locally projectively flat Finsler metrics. International Journal of Mathematics, 1650052.
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International Journal of Mathematics
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https://hdl.handle.net/1805/11594
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