Geometric Analysis Seminar: Legendrian mean curvature flow in $\eta$-Einstein Sasakian manifolds

：韩英波（信阳师范学院）
：2023-04-04 09:00
：腾讯会议ID：886-752-058（无密码）

报告人：韩英波（信阳师范学院）

时  间：2023年4月4日上午09:00-10:30

地  点：腾讯会议ID：886-752-058（无密码）

内容摘要:

Recently, there are a great deal of work done which connects the Legendrian isotopic problem with contact invariants. The isotopic problem of Legendre curve in a contact 3-manifold was studies via the Legendrian curve shortening flow which was introduced and studied by K. Smoczyk. On the other hand, in the SYZ Conjecture, one can model a special Lagrangian singularity locally as the special Lagrangian cones in C^3 . This can be characterized by its link which is a minimal Legendrian surface in the 5-sphere. Then in these points of view, in this paper we will focus on the existence of the long-time solution and asymptotic convergnce along the Legendrian mean curvature áow in higher dimensional $\eta$-Einstein Sasakian (2n + 1)-manifolds under the suitable stability condition due to the Thomas-Yau conjecture. This is a joint work with Shu-Cheng Chang and Chin-Tung Wu.

个人简介：

韩英波，博士，信阳师范学院教授。2007年7月于复旦大学数学科学学院获理学博士学位，2007.07-2009.12于东南大学数学系工作，2009年12月调入信阳师范学院数学与统计学院工作至今, 2016.12-2017.12于美国俄克拉荷马大学数学系学术访问。主要从事微分几何研究。主持在研国家自然科学基金面上项目1项，主持完成2项国家自然科学基金项目。在国内外重要学术期刊The Journal of Geometric Analysis, International Mathematical Research Notices， Calculus of Variations and Partial Differential Equations， Canadian Journal of Mathematics等发表学术论文50余篇。 

 

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