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 $V^n$ in Riemannian manifolds $(N^{n+1},h)$. Indeed, if…