Weak stability of Ricci expanders with positive curvature operator

TL;DR

This paper proves the weak stability of certain Ricci expanders with positive curvature operator, showing their stability under specific geometric conditions and decay rates at infinity.

Contribution

It establishes the weak stability of expanding gradient Ricci solitons with positive curvature operator and quadratic decay, advancing understanding of their geometric stability.

Findings

Proved weak stability of Ricci expanders with positive curvature operator.

Established stability under quadratic curvature decay.

Enhanced understanding of geometric stability of Ricci solitons.

Abstract

We prove the weak stability of expanding gradient Ricci solitons with positive curvature operator and quadratic curvature decay at infinity.