2022/05/27 by Elizeu França, França, Elizeu, Francesco Mercuri +1
Mathematics · #53C05 #53C15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Primary 57R22 #Secondary 53C65
paper · pdf · doi:10.48550/arxiv.2205.14190
openalex publication_date 2022/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish a criterion for the flatness of a principal circle bundle in terms of the intrinsically harmonic form problem. It states that the flatness is equivalent to the intrinsic harmonicity of a certain natural associated form.