Geometry and Topology Seminar
Linde Hall 187
PDE analysis on stable minimal hypersurfaces: curvature estimates and sheeting
Costante Bellettini,
Department of Mathematics,
University College London,
We consider properly immersed two-sided stable minimal hypersurfaces of dimension n. We illustrate the validity of curvature estimates for n \leq 6 (and associated Bernstein-type properties). For n \geq 7 we illustrate sheeting results around "flat points". The proof relies on PDE analysis. The results extend respectively the Schoen-Simon-Yau estimates (obtained for n \leq 5) and the Schoen-Simon sheeting theorem (valid for embeddings).
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Geometry and Topology Seminar Series
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