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arXiv · 2610.10344

Positive Scalar Curvature on Foliations: Long Neck Problem

Hengyu Chen·Guangxiang Su
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Abstract

We prove estimates for Gromov's Long Neck Foliated Conjecture in the spin cases, which involves leafwise scalar curvature. The same methods yield a quantitative version of a theorem of Su--Wang--Zhang and a Llarull-type theorem for closed foliated manifolds. A refinement, which involves mean curvature and partially generalizes a theorem of Cecchini--Zeidler, is also obtained.

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Hengyu Chen, Guangxiang Su. 2026-10-07. Positive Scalar Curvature on Foliations: Long Neck Problem. https://arxiv.org/abs/2610.10344

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