arXiv Analytics

Sign in

arXiv:0803.3575 [math.DG]AbstractReferencesReviewsResources

Harmonic maps from degenerating Riemann surfaces

Miaomiao Zhu

Published 2008-03-25Version 1

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 $W^{1,2}$ and $C^{0}$ modulo bubbles of sequences of such maps.

Comments: 27 pages
Journal: Math. Z. 264 (2010), no. 1, 63-85
Categories: math.DG, math.AP
Subjects: 58E20
Related articles: Most relevant | Search more
arXiv:1510.08758 [math.DG] (Published 2015-10-29)
Harmonic Maps with Potentials
arXiv:1507.04382 [math.DG] (Published 2015-07-15)
Moduli spaces of Higgs bundles on degenerating Riemann surfaces
arXiv:2103.09737 [math.DG] (Published 2021-03-17)
Scalar curvature, mean curvature and harmonic maps to the circle

Links

Toolbox