Harmonic maps from degenerating Riemann surfaces
Differential Geometry
2011-01-07 v1 Analysis of PDEs
Abstract
We study harmonic maps from degenerating Riemann surfaces with uniformly bounded energy and show the so-called generalized energy identity. We find conditions that are both necessary and sufficient for the compactness in and modulo bubbles of sequences of such maps.
Cite
@article{arxiv.0803.3575,
title = {Harmonic maps from degenerating Riemann surfaces},
author = {Miaomiao Zhu},
journal= {arXiv preprint arXiv:0803.3575},
year = {2011}
}
Comments
27 pages