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math.DG2026
Jacobian estimates and geometric inequalities under intermediate Ricci curvature
Kwok-Kun Kwong, Jihye Lee, Fabio Ricci
We prove a Jacobian estimate underlying both the Heintze--Karcher comparison and the Alexandrov--Bakelman--Pucci method for submanifolds of arbitrary codimension. The estimate reta…
math.DG2024
Isoperimetric profile function comparisons with Integral Ricci curvature bounds
Jihye Lee, Fabio Ricci
We prove comparison results for the Isoperimetric profile function in the setting of manifolds with integral bounds on the Ricci curvature. We extend previous work of Ni and Wang a…
math.DG2023
The Log-Sobolev inequality for a submanifold in manifolds with asymptotic non-negative intermediate Ricci curvature
Jihye Lee, Fabio Ricci
We prove a sharp Log-Sobolev inequality for submanifolds of a complete non-compact Riemannian manifold with asymptotic non-negative intermediate Ricci curvature and Euclidean volum…