Showing math.DGShow all
3 papers · 1 filter
math.DG2026
Open full-metric formation and local marked first-order asymptotic moduli of FIK blowdown singularities
Henry Shin
We prove that the Feldman--Ilmanen--Knopf (FIK) blowdown singularity has a nonempty open nonlinear formation basin in the full space of smooth Riemannian metrics and, on a smaller…
math.DG2025
Correction to: Curvature growth of some 4-dimensional gradient Ricci soliton singularity models
Bennett Chow, Michael H. Freedman, Henry Shin +1
This note corrects an error in the proof of Proposition 13 in arXiv:1903.09181 and simultaneously establishes a more general result. We prove that if is a compact connected or…
math.DG2019
Curvature growth of some 4-dimensional gradient Ricci soliton singularity models
Bennett Chow, Michael Freedman, Henry Shin +1
In this note we discuss estimates for the curvature of 4-dimensional gradient Ricci soliton singularity models by applying Perelman's point selection, a fundamental result of Cheeg…