Convergence of Almost Harmonic Maps to Geodesic Bubble Trees

Abstract We prove a sharp criterion on the decay of the tension of almost harmonic maps from degenerating surfaces that ensures that such maps subconverge to a limiting object that is made up entirely of harmonic maps.

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Publication Details

Journal
Journal of Geometric Analysis
Published
2026-05-11
DOI
https://doi.org/10.1007/s12220-026-02445-6
Primary Topic
Geometry and complex manifolds
Type
preprint
Field-Weighted Citation Impact
0.00
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preprint

Convergence of Almost Harmonic Maps to Geodesic Bubble Trees

Melanie Rupflin
Journal of Geometric Analysis
Geometry and complex manifolds
preprint

Convergence of Almost Harmonic Maps to Geodesic Bubble Trees

Melanie Rupflin
preprint en

Abstract

Abstract We prove a sharp criterion on the decay of the tension of almost harmonic maps from degenerating surfaces that ensures that such maps subconverge to a limiting object that is made up entirely of harmonic maps.

Journal of Geometric AnalysisVol. 36(6)
University of Oxford (GB)
Sustainable cities and communities
Openalex Percentile: Top 99%
Geometry and complex manifolds
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Convergence of Almost Harmonic Maps to Geodesic Bubble Trees — Melanie Rupflin · Journal of Geometric Analysis (2026) | TGRS Research Map | TGRS