3 papers
math.DG2026
Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature
Jihye Lee, Guofang Wei
We establish a Fenchel-Willmore-Chen inequality for smooth metric measure spaces with a lower bound on the 1-Bakry-Emery k-Ricci curvature. This extends previous results and yields…
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…
math.DG2020
Radial symmetry and partially overdetermined problems in a convex cone
Jihye Lee, Keomkyo Seo
We obtain the radial symmetry of the solution to a partially overdetermined boundary value problem in a convex cone in space forms by using the maximum principle for a suitable sub…