报告人：韩英波 （信阳师范学院）

时间：2023年5月11日 09:00-10:00

地点：腾讯会议（603-415-473）

题目：Legendrian mean curvature flow in $\eta $-Einstein Sasakian manifolds

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 flow 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.