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What is Regularity of Cylindrical Singularities in MCF about?

This paper investigates the k-cylindrical singular set of mean curvature flow in Rn+1, demonstrating that these sets are locally contained in a k-dimensional C2,α-submanifold after excluding lower-dimensional components. The authors provide a detailed asymptotic profile and curvature estimates at these singularities, establishing a connection between the local dynamics of the singularity and the regularity of the singular set. The main theorem outlines the dimensional properties of the singular sets and the

Author

Enzo Ric

Language

EN