Zi-Qi Zhao

activity

20222024

collaborators

4 papers

math.DG2024

No compact split limit Ricci flow of type II from the blow-down

Ziyi Zhao, Xiaohua Zhu

By Perelman's $L$ -geodesic theory, we study the blow-down solutions on a noncompact $κ$ -noncollapsed steady gradient Ricci soliton $(M^{n}, g)$ $(n \geq 4)$ with nonnegative c…

math.DG2024

Steady gradient Ricci solitons with nonnegative curvature operator away from a compact set

Ziyi Zhao, Xiaohua Zhu

Let $(M^{n}, g)$ $(n \geq 4)$ be a complete noncompact $κ$ -noncollapsed steady Ricci soliton with $Rm \geq 0$ and $Ric > 0$ away from a compact set $K$ of $M$ . We prove that the…

math.DG2023

$4 d$ steady gradient Ricci solitons with nonnegative curvature away from a compact set

Ziyi Zhao, Xiaohua Zhu

In the paper, we analysis the asymptotic behavior of noncompact $κ$ -noncollapsed steady gradient Ricci soliton $(M, g)$ with nonnegative curvature operator away from a compact set…

math.DG2022

Rigidity of the Bryant Ricci soliton

Ziyi Zhao, Xiaohua Zhu

We introduce a new curvature-pinching condition, which is weaker than the positive sectional curvature or PIC1, and then we prove several rigidity results for the rotationally symm…

No compact split limit Ricci flow of type II from the blow-down

Steady gradient Ricci solitons with nonnegative curvature operator away from a compact set

4d steady gradient Ricci solitons with nonnegative curvature away from a compact set

Rigidity of the Bryant Ricci soliton

$4 d$ steady gradient Ricci solitons with nonnegative curvature away from a compact set