[NTNU MATH-CAG-MSRC Jointed Seminar on Geometric Analysis] 【10月18日】張樹城 / Minimal Legendrian Graph in S²×S³ and The Smale Conjecture
by 温湘婷 | 2023-10-13 09:08:01
Minimal Legendrian Graph in S²×S³ and The Smale Conjecture
時 間：2023-10-18 14:00 (星期三) / 地 點：Online
Zoom: 811 5638 1768 (Password : msrc)
In this talk, we will address recent results for the Smale conjecture on a Sasakian 3-sphere via the Legendrian mean curvature flow. More precisely, we deform the area-preserving contactomorphism (symplectomorphism) of Sasakian 3-spheres via the Legendrian mean curvature flow. By using the monotonicity formula and blow-up analysis, we obtain the minimal Legendrian graph in S²×S³. Finally, we will address the rigidity theorem of 2-dimensional Legendrian self-shrinkers which lifting as a Harvey-Lawson cone in C³.
This is a jointed work with Chin-Tung Wu and Liuyang Zhang.
Organizers:
Chang, Shu-Cheng
Kuo, Ting-Jung
Lin, Chun-Chi
Source URL: https://cantor.math.ntnu.edu.tw/index.php/2023/10/13/20231018onlinespeech/