Work

Positive Scalar Curvature on Foliations: Long Neck Problem

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.10344

Authors: Chen, Hengyu, Su, Guangxiang

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Tianjin City, Nankai Zhide Foundation, Fundamental Research Funds for the Central Universities

Awards: G1540482951, G8659724249

OpenAlex ID: W7221020870

Cites: 4

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Related to: 10