Title：Homogeneous Einstein Finsler metrics on (4n+3)-dimensional spheres

Speaker：莫小欢  教授  （北京大学）

Time：2019年1月10日     下午  16:30-17:30

Room：东区管理科研楼  数学科学学院1308室

Abstract：In this lecture we discuss a class of homogeneous. Finsler metrics of vanishing S-curvature on a (4n+3)-dimensional sphere. We study 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 innitely many homogeneous Einstein metrics on S4n+3 of constant Ricci curvature 1 and vanishing S-curvature. They contain the canonical metric on S4n+3 of constant sectional curvature 1 and the Einstein metric of non-constant sectional curvature given by Jensen in 1973.