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Geometry-Topology Seminar

Thursday, October 7, 2021 - 5:15pm

Chao Li

New York University

Location

University of Pennsylvania

via Zoom

For the Zoom link, please e-mail dmaxim@math.upenn.edu .

We prove that a complete, two-sided, stable minimal immersed hypersurface in R^4 is flat. As consequences, we obtain curvature estimates for stable minimal hypersurfaces in Riemannian four-manifolds, and a structure theorem for complete, two-sided minimal immersions in R^4 with finite Morse index.