Bounding the area of surfaces with prescribed boundary.
报告人:张旭文(University of Freiburg)
时间:2026-03-10 14:00-16:00
地点:智华楼412
【摘要】
Given an (m-1)-dimensional, embedded, compact submanifold \Gamma in R^n, consider any compact, immersed m-dimensional submanifold whose boundary is exactly given by \Gamma. In this talk, we show how the area of such an m-submanifold is controlled in terms of its curvature energy. The talk is based on joint work with Ernst Kuwert.