论文标题
对Finsler表面和Landsberg的PDE进行新的外观
A new look at Finsler surfaces and the Landsberg's PDE
论文作者
论文摘要
在本文中，我们介绍了Finsler表面的新外观。 Landsberg表面是Finsler表面，是非线性部分微分方程系统的解决方案。考虑到独角兽的Landsberg问题，我们将该系统减少到单个非线性PDE，我们称之为Landsberg的PDE。通过利用Finsler表面的新外观，我们解决了Landsberg的PDE并获得了一类解决方案。此外，我们表明这些解决方案及其保形转换是Berwaldain。
In this paper, we introduce a new look at Finsler surfaces. Landsberg surfaces are Finsler surfaces that are solutions of a system of non-linear partial differential equations. Considering the unicorn's Landsberg problem, we reduce this system to a single non-linear PDE which we call the Landsberg's PDE. By making use of the new look of Finsler surfaces, we solve the Landsberg's PDE and get a class of solutions. Moreover, we show that these solutions and their conformal transformations are Berwaldain.
