2 papers
math.DG2025
Gradient Shrinking Ricci Solitons and Modified Sectional Curvature
Xiaodong Cao, Ernani Ribeiro, Hosea Wondo
We investigate four-dimensional gradient shrinking Ricci solitons with positive modified sectional curvature. Our first main result shows that if the norm of the self-dual Weyl ten…
math.DG2024
Geometry and Analysis of Gradient Ricci Solitons in Dimension Four
Xiaodong Cao, Hung Tran
[Dedicated to Richard S. Hamilton on forty years of Ricci flow] Gradient Ricci solitons have garnered significant attention both as self-similar solutions and singularity models of…