Huyue Yan: Minkowski Inequality in Asymptomatically Flat Static Manifolds

Abstract

Minkowski Inequality, originating from the study of convex geometry, is a classical result in geometrical analysis. Researchers have gained success in extending this inequality beyond convex domains. In recent years, attempts have been made to extend this inequality in non-Euclidean spaces. This talk will have snapshots of the different versions of Minkowski Inequalities in different settings. Meanwhile, their proofs will be briefly discussed. In the end, I will touch on my thesis project.