Long-time behavior of Ricci flow on some complex surfaces

TL;DR

This paper studies the long-term evolution of Ricci flow on certain complex surfaces, providing models that describe how these geometric structures change over time, including both expansion and static phases.

Contribution

It introduces biLipschitz models for Ricci flow on specific 4-manifolds, capturing their complex long-term behavior with new geometric insights.

Findings

Models exhibit combined expanding and static behavior.

Provides a detailed description of Ricci flow on minimal surfaces of general type.

Advances understanding of Ricci flow dynamics on complex surfaces.

Abstract

We give biLipschitz models for the Ricci flow on some 4-manifolds (minimal surfaces of general type), exhibiting a combination of expanding and static behavior.