Title：Poincare inequality and Sobolev inequality on Finsler manifolds

Speaker：夏巧玲  （浙江大学） 

Time：2019年4月25日      下午 15:00-16:00

Room：东区管理科研楼  0029cc金沙贵宾会1318室

Abstract：In this talk, I will introduce the (Sharp) p-Poincare and (p, q)-Sobolev inequalities on compact Finsler manifolds with the lower weighted Ricci curvature bound. As applications, we give the sharp lower bound estimates for the first eigenvalue $/lambda_1$ of the Finsler Laplacian on closed Finsler manifolds and characterize the manifold on which $/lambda_1$ reaches its extremum,  when the weighted Ricci curvature is nonnegative or positive.