2 papers
math.DG2024
Half-space intersection properties for minimal hypersurfaces
Keaton Naff, Jonathan J. Zhu
We prove ``half-space" intersection properties in three settings: the hemisphere, half-geodesic balls in space forms, and certain subsets of Gaussian space. For instance, any two e…
math.DG2015
Reilly's type inequality for the Laplacian associated to a density related with shrinkers for MCF
M. Carmen Domingo-Juan, Vicente Miquel, Jonathan J. Zhu
Let be a Riemannian manifold with a density, and let be a closed -dimensional submanifold of with the induced metric and density. We give an up…