188比分直播

Sobolev inequalities in manifolds with asymptotically nonnegative curvature

发布者:文明办发布时间:2022-12-22浏览次数:408


主讲人:东瑜昕 复旦大学教授


时间:2022年12月24日9:00


地点:腾讯会议 850 6441 4458


举办单位:数理学院


主讲人介绍:东瑜昕,复旦大学数学科学学院教授(博士生导师),主要研究领 域为整体微分几何、复几何与CR 几何。已主持完成国家自然科学基金项目8项(包括重点项目1 项),现主持国家自然 科学基金在研项目1 项,在PLMS,BLMS,MZ,JGA,CMP 等国内外学术期刊上发表了数十篇学术论文。


内容介绍:Using the ABP-method as in a recent work by Brendle, we establish some sharp Sobolev and Michael-Simon inequalities for compact domains and submanifolds respectively in a complete Riemannian manifold with asymptotically nonnegative curvature. These inequalities generalize those given by Brendle in the case of complete Riemannian manifolds with nonnegative curvature. This is a joint work with Hezi Lin and Lingen Lu.