On a class of projectively flat Finsler metrics
| dc.contributor.author | Li, Benling | |
| dc.contributor.author | Shen, Zhongmin | |
| dc.contributor.department | Department of Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2016-12-09T18:11:11Z | |
| dc.date.available | 2016-12-09T18:11:11Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper, we study a class of Finsler metrics composed by a Riemann metric $\alpha=\sqrt{a_{ij}(x)y^i y^j}$ and a $1$-form $\beta=b_i(x)y^i$ called general ($\alpha$, $\beta$)-metrics. We classify those projectively flat when $\alpha$ 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. | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.identifier.citation | Li, B., & Shen, Z. (2016). On a class of locally projectively flat Finsler metrics. International Journal of Mathematics, 1650052. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/11594 | |
| dc.language.iso | en | en_US |
| dc.relation.journal | International Journal of Mathematics | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | ArXiv | en_US |
| dc.subject | Finsler metric | en_US |
| dc.subject | projectively flat | en_US |
| dc.title | On a class of projectively flat Finsler metrics | en_US |
| dc.type | Article | en_US |