2 papers
math.DG2026
Rigidity and flexibility under spectral Ricci lower bounds and mean-convex boundary
Gioacchino Antonelli, Yangyang Li, Paul Sweeney
We study Riemannian manifolds with mean-convex boundary whose Ricci curvature is nonnegative in a spectral sense. Our first main result is a sharp spectral extension of a…
math.DG2024
Existence and regularity of min-max anisotropic minimal hypersurfaces
Guido De Philippis, Antonio De Rosa, Yangyang Li
In any closed smooth Riemannian manifold of dimension at least three, we use the min-max construction to find anisotropic minimal hyper-surfaces with respect to elliptic integrands…