Singularities of minimal submanifolds
Leon Simon
TL;DR
This paper surveys key results and open questions regarding the structure of singularities in minimal surfaces, and discusses recent advances in understanding singularities of stable minimal hypersurfaces, including technical simplifications.
Contribution
It provides a concise overview of singularity structures and introduces recent simplified methods for analyzing stable minimal hypersurfaces.
Findings
Summary of key results and open questions on singularities
Recent work on stable minimal hypersurfaces
Technical simplifications in the analysis
Abstract
After quick survey of some key results and open questions about the structure of singularities of minimal surfaces, we discuss recent work~\cite{Sim23} on singularities of stable minimal hypersurfaces, including some simplifications of the main technical discussion in~\cite{Sim23}.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometric and Algebraic Topology · Geometry and complex manifolds