6 citations · 15 across the 13 of their papers we have counts for
13 papers
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}…
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…
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…
Four-Dimensional Steady Gradient Ricci Solitons with -Cylindrical Tangent Flows at Infinity
Richard Bamler, Bennett Chow, Yuxing Deng +2
In this paper we consider -dimensional steady soliton singularity models, i.e., complete steady gradient Ricci solitons that arise as the rescaled limit of a finite time singula…
On Four-dimensional Steady gradient Ricci solitons that dimension reduce
Bennett Chow, Yuxing Deng, Zilu Ma
In this paper, we will study the asymptotic geometry of 4-dimensional steady gradient Ricci solitons under the condition that they dimension reduce to -manifolds. We will show t…
A note on compact -solutions of Kähler-Ricci flow
Yuxing Deng, Xiaohua Zhu
In this paper, we give a complete classification of -solutions of Kähaler-Ricci flow on compact complex manifolds. Namely, they must be quotients of products of irreducible comp…
Classification of gradient steady Ricci solitons with linear curvature decay
Yuxing Deng, Xiaohua Zhu
In this paper, we give a description for steady Ricci solitons with a linear decay of sectional curvature. In particular, we classify all 3-dimensional steady Ricci solitons and 4-…
Higher dimensional steady Ricci solitons with linear curvature decay
Yuxing Deng, Xiaohua Zhu
We prove that any noncompact -noncollapsed steady Ricci soliton with nonnegative curvature operator must be rotationally symmetric if it has a linear curvature decay.
3d steady Gradient Ricci Solitons with linear curvature decay
Yuxing Deng, Xiaohua Zhu
In this note, we prove that a 3-dimensional steady Ricci soliton is rotationally symmetric if its scalar curvature satisfies $$\frac{C_0^{-1}}{ρ(x)}\le R(x)\le \frac{C_0}{ρ(…
Asymptotic behavior of positively curved steady Ricci Solitons, II
Yuxing Deng, Xiaohua Zhu
In this note, we show that any -dimensional -noncollapsed steady Kähler-Ricci soliton with nonnegative bisectional curvature must be flat. The result is an improvement to our…
Steady Ricci solitons with horizontally -pinched Ricci curvature
Yuxing Deng, Xiaohua Zhu
In this paper, we prove that any -noncollapsed gradient steady Ricci soliton with nonnegative curvature operator and horizontally -pinched Ricci curvature must be rotationall…
Asymptotic behavior of positively curved steady Ricci Solitons
Yuxing Deng, Xiaohua Zhu
In this paper, we analyze the asymptotic behavior of -noncollapsed and positively curved steady Ricci solitons and prove that any -dimensional -noncollapsed steady Kähler-…
Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature
Yuxing Deng, Xiaohua Zhu
In this paper, we give a delay estimate of scalar curvature for a complete non-compact expanding (or steady) gradient Ricci soliton with nonnegative Ricci curvature. As an applicat…