报告人一：李海中(清华大学教授、博士生导师)

研究方向：微分几何、几何分析

报告题目: Inverse curvature flows and some geometric applications

提要: By use of the inverse curvature flow, we prove a sharp geometric inequality on star-shaped and two-convex hypersurface in a hyperbolic space.

报告时间：2016年5月29日（周日）上午11：00-11：50

报告地点：郑州大学数学与统计学院310会议室

报告人二：东瑜昕(复旦大学教授、博士生导师)

研究方向：微分几何

报告题目: On-harmonic maps between pseduo-Hermitian manifolds and their applications

提要: In this talk, I will discuss critical maps of the horizontal energy functional for maps between two pseudo-Hermitian manifolds and. These critical maps are referred to as-harmonic maps. We introduce-pluriharmonic,-holmorphic maps between these manifolds, which provide us examples of-harmonic maps. A Lichnerowicz type result is established to show that foliated-holomorphic maps are actually minimizer of in their foliated homotopy classes. Some unique continuation results are given for characterizing either horizontally constant maps or foliated-holomorphic maps. Eells-Sampson type existence results are established if both manifolds are compact Sasakian and the target is regular with non-positive horizontal sectional curvature. Finally, we give a foliated rigidity result for-harmonic maps and Siu type strong rigidity results for compact regular Sasakian manifolds with either strongly negative horizontal curvature or adequately negative horizontal curvature.

报告时间：2016年5月29日（周日）下午14：30-15：20

报告地点：郑州大学数学与统计学院310会议室

报告人三：李兴校(河南师范大学教授、博士生导师)

研究方向：微分几何

报告题目: Blaschke parallel submanifolds in the unit sphere

提要: For umbilic-free immersed submanifolds in the unit sphere, there are four fundamental Moebius invariants including the Moebius metric, the Blaschke tensor, the Moebius second fundamental form and the Moebius form. In this talk, I shall establish a complete classification theorem for the Blaschke parallel submanifolds in the unit spherewith vanishing Moebius form.

报告时间：2016年5月29日（周日）下午15：30-16：20

报告地点：郑州大学数学与统计学院310会议室