https://neckpinch.com/authors/zhi-li/New arXiv papers by Zhi Li, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2609.20429/arxiv:2609.20429Thu, 17 Sep 2026 00:00:00 GMTZhi Li, Guoxin Wei — Our first main result is a rigidity theorem for complete self-expanders in the Euclidean space with higher codimension, assuming an integral cur More precisely, any smooth complete self-expander x:M→ ℝ^(n+p)(n≥3) that satisfies both (∫_M|A|ⁿdμ)^(1/n)<K(n) and ∫_M|A|ⁿe^(frac|x|²2)dμ<∞ for a positive constant K(n) depending only o isometric to ℝⁿ. Moreover, we show that the rigidity result persists when the pinching condition is expressed in terms of the trace-free second fundamental form.Mean curvature flowSelf-shrinkers & translatorsCurvature pinchingStability & uniqueness