Shanlin Guan

activity

20222026

most citedCurvature bounds for the spectrum of closed Einstein spaces and Simon conjecture

1 citations · 1 across the 3 of their papers we have counts for

collaborators

Showing math.DGShow all

3 papers · 1 filter

math.DG2026

Rigidity of Three-Dimensional Self-Shrinkers with Constant Norm of the Second Fundamental Form

Shanlin Guan, Yuhang Zhao

Let $X : M^{3} \to R^{4}$ be a complete, connected self-shrinker without boundary, and suppose that the squared norm $S$ of its second fundamental form is constant. We prove that $S = 0$ or…

math.DG2023★ 1 cited

Curvature bounds for the spectrum of closed Einstein spaces and Simon conjecture

ShanLin Guan, Zhen Guo

Let $(M^{n}, g)$ be a closed connected Einstein space, $n = d im M,$ and $κ_{0}$ be the lower bound of the sectional curvature. In this paper, we prove Udo Simon's conjecture: on cl…

math.DG2022

Minimal Norm Tensors Principle and its Applications

Zhen Guo, ShanLin Guan

In this paper we study the minimal norm tensors for general third covariant tensors and fourth covariant tensors, using this we can give a new explanation of Weyl tensor and Cotten…