Pengpeng Cheng

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math.DG2026

The second gap for self-shrinkers with constant norm of the second fundamental form

Pengpeng Cheng, Tongzhu Li

Let $X : M^{n} \to R^{n + 1}$ be a complete self-shrinker with constant squared norm of the second fundamental form $S$ . In this paper, we prove that if $S \leq \frac{10}{7}$ ,…

math.DG2024

Rigidity of closed minimal hypersurface in $S^{5}$

Pengpeng Cheng, Tongzhu Li

Let $M^{4} \to S^{5}$ be a closed immersed minimal hypersurface with constant squared length of the second fundamental form $S$ in a $5$ -dimensional sphere $S^{5}$ . In t…

The second gap for self-shrinkers with constant norm of the second fundamental form

Rigidity of closed minimal hypersurface in S5

Rigidity of closed minimal hypersurface in $S^{5}$