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01-10微分方程系列报告【莫小欢】

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. 

  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会