PDE Seminar: Kwong -- Fenchel-Willmore inequality for submanifolds in manifolds with non-negative k-Ricci curvature

Kwok-Kun Kwong (University of Wollongong) 

Mon 25th Aug 2025, 11:00-12:00, Carslaw Room 535 

Abstract: In this talk, I will prove a sharp Fenchel-Willmore inequality for closed
immersed submanifolds of arbitrary dimension and codimension in a complete Riemannian
manifold with non-negative intermediate Ricci curvature.  In the hypersurface case, this
condition reduces to non-negative Ricci curvature.  The result extends relatively recent
work of Agostiniani, Fogagnolo, and Mazzieri, as well as classical results of Chen,
Fenchel, Willmore, and others.  If time permits, I will also present an unexpected
connection between this inequality and a logarithmic Sobolev inequality on
submanifolds.  This is joint work with Meng Ji.