Smooth approximations for CMC hypersurfaces with isolated singularities
报告人：Konstantinos Leskas (University of Athens)
时间：2025-03-26 16:00-17:00
地点：online
【摘要】
In this talk we consider a constant mean curvature (CMC) hypersurface in R^8, with an isolated singularity, that minimizes the prescribed mean curvature functional. We show that in a ball centered at the singularity there exist a sequence of smooth CMC hypersurfaces thatconverges to the initial one. The proof relies on the Hardt-Simon foliation for area minimizing cones in R^8. The result extends the Hardt-Simon smooth approximation theorem, established for area minimizers.
【报告人简介】
Konstantinos Leskas is currently a postdoctoral researcher at the University of Athens. He obtained his PhD in 2023 under the supervision of Costante Bellettini. His research focuses on geometric measure theory andgeometric analysis.
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