4 papers · 1 filter
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…
Singularity Types for Long-Time Chern-Ricci Flow
Hosea Wondo
We extend some results known for the Kähler-Ricci flow to the Chern-Ricci flow regarding the independence of singularity types for long-time solutions. Specifically, we show that i…
Independence of Singularity Type for Numerically Effective Kähler-Ricci Flows
Hosea Wondo, Zhou Zhang
In this paper, we show that the singularity type of solutions to the Käher-Ricci flow on a numerically effective manifold does not depend on the initial metric. More precisely if t…
Calabi Symmetry and the Continuity Method
Hosea Wondo
We study the convergence and curvature blow up of La Nave and Tian's continuity method on a generalised Hirzebruch surface. We show that the Gromov-Hausdorff convergence is similar…