time: 2020.12.8，14:30-15:30pm
place:Tencent meeting 308 161 001
lecturer:Professor MoXiaoHuan
topic：Homogeneous Einstein Finsler metrics on $(4n+3)$-dimensional spheres
abstract：In this lecture，we discuss a class of homogeneous Finsler metrics of vanishing $S$-curvature on a $(4n+3)$-dimensional sphere.
We find a second order ordinary differential equation that characterizes Einstein metrics with constant Ricci curvature $1$ among this class.
Using this equation we show that there are infinitely many homogeneous Einstein metrics on $S^{4n+3}$ of constant Ricci curvature $1$ and vanishing $S$-curvature. They contain the canonical metric on $S^{4n+3}$ of constant sectional curvature $1$ and the Einstein metric of non-constant sectional curvature given by Jensen in 1973.
