Speaker：Yingbo Han (Xinyang Normal University)

Time：2023-4-4, 09:00

Location：Tencent Meeting ID：886-752-058（No Password）

Abstract:

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.