2009/11/25 by Juergen Jost, Jost, Juergen, Yi-Hu Yang +3
Mathematics · #32Q15 #53C07 #53C35 #53C56 #58E20 #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.CV #math.DG #msc:32Q15 #msc:53C07 #msc:53C35 #msc:53C56 #msc:58E20
paper · pdf · doi:10.48550/arxiv.0911.4759
21 pages
openalex publication_date 2009/11/25 · arxiv created 2010/01/17 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note, we propose an approach to the study of the analogue for unipotent harmonic bundles of Schmid's Nilpotent Orbit Theorem. Using this approach, we construct harmonic metrics on unipotent bundles over quasi-compact Kähler manifolds with carefully controlled asymptotics near the compactifying divisor; such a metric is unique up to some isometry. Such an asymptotic behavior is canonical in some sense.