3 papers
math.DG2026
Ancient Ricci flows with nonnegative Ricci curvature
Yuxing Deng, Ganqi Wang, Yongjia Zhang
In this paper, we study the asymptotic geometry of a noncollapsed ancient Ricci flow with nonnegative Ricci curvature via its tangent flow at infinity -- a noncollapsed $\mathbb{F}…
math.DG2025
On the fundamental group of steady gradient Ricci solitons with nonnegative sectional curvature
Yuxing Deng, Yuehan Hao
In this paper, we study the fundamental group of the complete steady gradient Ricci soliton with nonnegative sectional curvature. We prove that the fundamental group of such a Ricc…
math.DG2025
Rigidity of positively curved Steady gradient Ricci solitons on orbifolds
Yuxing Deng
In this paper, we study gradient Ricci soitons on smooth orbifolds. We prove that the scalar curvature of a complete shrinking or steady gradient Ricci soliton on an orbifold is no…