This article demonstrates that the squeezing function converges to one at pseudoconvex boundaries, indicating strong geometric properties in certain domains.
The purpose of this article is twofold. First, we prove that the squeezing function approaches 1 near strongly pseudoconvex boundary points of bounded domains in Cⁿ⁺¹. Second, we show that the squeezing function approaches 1 along certain sequences converging to pseudoconvex boundary points of finite type, including uniformly $Λ$-tangential and spherically 1/2m-tangential convergence patterns.
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Ninh Van Thu (2025) studied this question.
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