Guo-Xin Wei

collaborators

4 papers

math.DG2026

A Classification of Complete Self-shrinkers

Qing-Ming Cheng, Fengjiang Li, Guoxin Wei

Let $X : M^{n} \to R^{n + 1}$ be an $n$ -dimensional complete self-shrinker. We obtain a complete classification of complete self-shrinkers with positive constant scalar curvature. More pr…

math.DG2026

Singular Rotational Self-Similar Tori for Odd $σ_{k}$ -Curvature Flows

Haoxuan Cheng, Junqi Lai, Guoxin Wei

For every pair of integers $3 \leq k < n$ with $k$ odd, we construct a compact embedded rotational torus in $R^{n + 1}$ whose homothetic dilations satisfy the unnormalised $σ_k…

math.DG2026

Estimates on scalar curvature of self-shrinkers

Qing-Ming Cheng, Fengjiang Li, Guoxin Wei

In this paper, we study $n$ -dimensional complete self-shrinkers in $R^{n + 1}$ with constant squared norm $S$ of the second fundamental form. We partially resolve the conject…

math.DG2023

Colding-Minicozzi entropies of some self-shrinkers

Qilun Luo, Guoxin Wei, Fu-An Zhang

In this note, we numerically estimate Colding-Minicozzi entropies of some self-shrinkers and get that Colding-Minicozzi entropies of $n$ -dimensional Angenent torus are decreasing a…

A Classification of Complete Self-shrinkers

Singular Rotational Self-Similar Tori for Odd σk​-Curvature Flows

Estimates on scalar curvature of self-shrinkers

Colding-Minicozzi entropies of some self-shrinkers

Singular Rotational Self-Similar Tori for Odd $σ_{k}$ -Curvature Flows