An Almost Flat Spin^c Manifold Bounds

2025/12/22 by Han Fei, Han, Fei, Ruizhi Huang +3
Mathematics · #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · doi:10.48550/arxiv.2512.19335

openalex publication_date 2025/12/22 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28

Abstract

We prove that every almost flat spin^c manifold bounds a compact orientable manifold, thereby settling, in the spin^c case, a long-standing conjecture of Farrell--Zdravkovska and S. T. Yau.

Citations

• Riemannian Hyperbolization

Related

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