“A new proof for the Willmore-type inequality for Riemannian manifolds with non-negative Ricci curvature”
Martedì 18 Marzo 2025, ore 17:00 - Aula 2BC30 - Ariadna León Quirós (Phd Student at University of Tübingen)
Abstract
In 1977, D. C. Robinson developed a method for proving static vacuum Black Hole uniqueness in General Relativity. This method has recently been generalized to higher dimensions by C. Cederbaum, A. Cogo, B.Leandro, and J. Paolo dos Santos. It turns out that the same philosophy can also be used to prove geometric inequalities, such as the Willmore Inequality in Eucledian space by C. Cederbaum and A. Miehe.
In my talk, I will show how to adjust this philosophy to prove the Agostiniani-Fogagnolo-Mazzieri Willmore-type inequality for Riemannian manifolds with non-negative Ricci curvature as well as its application to the proof of Hamilton’s pinching conjecture.
This is joint work with C. Cederbaum.
