报告题目:Sobolev inequalities in manifolds withasymptotically nonnegative curvature
报告人:东瑜昕
报告时间:2023年3月16日(周四)10:00-12:00
报告地点:数学楼315会议室腾讯会议:720-103-816
申办单位:数学与统计学院
报告摘要:
Using the ABP-method as in a recent work by Brendle, we establish somesharp 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.
报告人简介:
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。曾获教育部跨世纪人才基金。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。