中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人： 蒋国盛 博士（北京师范大学）
题 目：Curvature estimates for minimal hypersurfaces
时 间：2021.12.30（星期四），14:00-15:30
地 点：思源楼S515
摘 要：I will report the work by R. Schoen, L. Simon, and S.-T. Yau published on Acta Math., where the authors proved an integral curvature estimate and a pointwise curvature estimate for the stable minimal hypersurfaces. Consequently, the Bernstein theorem can be obtained for several dimensions. It also simplified the proof of Simons’ result that there is no non-trivial stable 6-dimensional minimal cone in R^7, and so any minimal graph over R^7 must be a hyperplane in R^8.
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