Showing math.DGShow all
2 papers · 1 filter
math.DG2025
Fenchel-Willmore and Sobolev-type inequalities for submanifolds in non-negatively curved manifolds
Meng Ji, Kwok-Kun Kwong
In this paper, we uncover a novel connection between the Fenchel-Willmore inequality and a new logarithmic Sobolev inequality for mean-convex submanifolds immersed in non-negativel…
math.DG2025
Fenchel-Willmore inequality for submanifolds in manifolds with non-negative -Ricci curvature
Meng Ji, Kwok-Kun Kwong
We establish a sharp Fenchel-Willmore inequality for closed submanifolds of arbitrary dimension and codimension immersed in a complete Riemannian manifold with non-negative interme…