Showing math.DGShow all
3 papers · 1 filter
math.DG2026
Quantitative Rigidity Using Colding's Monotonicity Formulas for Ricci Curvature
Christine Breiner, Jiewon Park
In \cite{Colding}, Colding proved monotonicity formulas for the Green function on manifolds with nonnegative Ricci curvature. Inspired by the sharp estimates relating the pinching…
math.DG2025
Rigidity of the gradient estimate for Einstein manifolds
Sanghoon Lee, Jiewon Park
We study the rigidity of Ricci-flat manifolds with quadratic curvature decay under conditions on the Green function. We show that if the gradient of the Green function is uniformly…
math.DG2024
Monotonicity formulas and Hessian of the Green function
Jiewon Park
Based on an assumption on the Hessian of the Green function, we derive some monotonicity formulas on nonparabolic manifolds. This assumption is satisfied on manifolds that meet cer…