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math.DG2026
Quantitative Estimates on the Topology and Singular Set of Prescribed Mean Curvature Hypersurfaces
Nicolau S. Aiex, Sean McCurdy, Paul Minter
We establish quantitative topological and singularity properties for (certain) prescribed mean curvature (PMC) hypersurfaces in Riemannian manifolds . Indeed, if…
math.DG2024
Critical Allard regularity: pointwise tilt-excess estimates
Sean McCurdy
The main results of this paper provide VMO-type estimates for the quadratic tilt-excess on varifolds with critical generalized mean curvature. These estimates apply to varifolds wi…
math.DG2022
Quantitative Estimates on the Singular Set of Minimal Hypersurfaces with Bounded Index
Nicolau S. Aiex, Sean McCurdy, Paul Minter
We prove local measure bounds on the tubular neighbourhood of the singular set of codimension one stationary integral -varifolds in Riemannian manifolds which have both: (i)…