2 papers
math.DG2026
Sharp Hessian inequalities and monotonicity for Green's functions of positively curved Einstein manifolds
Cosmin Manea, Jacob Reznikov
We prove a sharp Hessian inequality for the natural comparison Green's function of an Einstein manifold with positive sectional curvature, which may be viewed as a Green's function…
math.DG2023
General Conformally Induced Mean Curvature Flow
Joshua Flynn, Jacob Reznikov
This paper continues the investigation of isoperimetric inequalities through volume preserving and area decreasing mean curvature type flows related to conformal Killing vector fie…