Curvature and bubble convergence of harmonic maps
Differential Geometry
2011-10-12 v3 Analysis of PDEs
Abstract
We explore geometric aspects of bubble convergence for harmonic maps. More precisely, we show that the formation of bubbles is characterised by the local excess of curvature on the target manifold. We give a universal estimate for curvature concentration masses at each bubble point and show that there is no curvature loss in the necks. Our principal hypothesis is that the target manifold is Kaehler.
Keywords
Cite
@article{arxiv.1005.3783,
title = {Curvature and bubble convergence of harmonic maps},
author = {Gerasim Kokarev},
journal= {arXiv preprint arXiv:1005.3783},
year = {2011}
}
Comments
re-worked into a shorter version, inaccuracies and misprints corrected, 17 pages; to appear in J. Geom. Anal