Mathematics – Differential Geometry
Scientific paper
2009-11-25
Mathematics
Differential Geometry
21 pages
Scientific paper
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 K\"ahler 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.
Jost Juergen
Yang Yan-Hong
Zuo Kang
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