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Harmonic maps from degenerating Riemann surfaces
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Zhu, Miaomiao (2010) Harmonic maps from degenerating Riemann surfaces. Mathematische Zeitschrift, Vol.264 (No.1). pp. 63-85. doi:10.1007/s00209-008-0452-0 ISSN 0025-5874.
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Official URL: http://dx.doi.org/10.1007/s00209-008-0452-0
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 W 1,2 and C 0 modulo bubbles of sequences of such maps.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Mathematische Zeitschrift | ||||
Publisher: | Springer | ||||
ISSN: | 0025-5874 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.264 | ||||
Number: | No.1 | ||||
Page Range: | pp. 63-85 | ||||
DOI: | 10.1007/s00209-008-0452-0 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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