Topic:Improved Bochner inequality and its important applications on Finsler manifolds
Reporter：Cheng Xinyue
Time: November 27（Friday）14:30-15:30p.m.
Site：Tencent meeting Meeting ID：383 647 219
Abstract：In this talk, we will establish some important inequalities under a lower weighted Ricci curvature bound by using improved Bochner inequality and its integrated form. Firstly, we obtain a sharp Poincare-Lichnerowicz inequality. Then we give a new proof for logarithmic Sobolev inequality. Finally, we obtain an estimate of the volume of geodesic balls and a relative volume comparison of Bishop-Gromov type on Finsler manifolds.
