报告人：邝国权 助理教授（台湾国立成功大学）

报告题目：On almost Schur's lemma

报告时间：2015年4月2日 下午3点

报告地点：数学系实验室

报告人简介：邝国权，主要从事广义相对论和几何分析的研究。2011年获得香港中文大学博士学位，先后在澳大利亚Monash大学和美国迈阿密大学做博士后，目前任台湾国立成功大学数学系助理教授。在Journal of Geometric Analysis,Comunications in Analysis and Geometry,Pacific Journal of Mathematics 等国际权威刊物上发表论文8篇。

摘要:  It is a wellknown result of Schur, that for a Riemannian manifold of dimension greater than two, if the traceless Ricci tensor is zero, then its scalar curvature is constant. In this talk, I will discuss a stability result for submanifolds in space forms. More precisely, I will explain how the L^2 norm of the traceless Newton tensor on a submanifold controls the deviation of its (higher order) mean curvature from its average value. This can be regarded as the quantitative version of Schur's result. I will also give a version of this kind of result which involves the full curvature tensor.

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