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The stable Bernstein theorem for minimal hypersurfaces

发布日期:2025-05-08点击数:

报告人:Li Chao 教授(New York University)

时间:2025年05月09日  09:00-

ZoomID: 811-5638-1768  (Password:msrc)


摘要:The classical Bernstein problem, resolved in the 1960s, states that the only entire solution in Rn to the minimal surface equation is affine whenever n is at most 7. A natural extension of the problem-the stable Bernstein problem for minimal hypersurfaces-has been extensively studied since 1980s. I will discuss recent progress on this problem: a complete, two-sided, codimension one stable minimal immersion in Rn, 4≤n≤6, is flat. The solution relies on an improved understanding between curvature conditions and the macroscopic geometry of Riemannian manifolds.


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。