3 papers
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…
math.DG2019
Canonical identification at infinity for Ricci-flat manifolds
Jiewon Park
We give a natural way to identify between two scales, potentially arbitrarily far apart, in a non-compact Ricci-flat manifold with Euclidean volume growth when a tangent cone at in…
math.DG2018
A Compactness Theorem for Rotationally Symmetric Riemannian Manifolds with Positive Scalar Curvature
Jiewon Park, Wenchuan Tian, Changliang Wang
Gromov and Sormani conjectured that sequences of compact Riemannian manifolds with nonnegative scalar curvature and area of minimal surfaces bounded below should have subsequences…