Time: 16:10-17:00

venue: Mathematics Building Room 527

Speaker: Dr. Ooi Yuan Shyong (National Center for Theoretical Sciences)

Title: Stability Properties and Rigidity Results of Lambda Translator

Abstract:

Lambda translator is a natural generalization of mean curvature flow (MCF) translator to the weighted constant mean curvature (CMC) setting. Weighted CMC hypersurface has a natural variational point of view. From this variational point of view, we can define a stability notion for lambda translator which extends the classical notion of strongly stable cmc. We then discuss some new rigidity results for stable or graphical lambda translator with bounded geometry condition. These results generalize the classical rigidity result of MCF translator of Impera-Rimoldi.