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Energy Identities for Dirac-harmonic Maps

✍ Scribed by Liang Zhao

Publisher: Springer
Year: 2006
Tongue: English
Weight: 226 KB
Volume: 28
Category: Article
ISSN: 0944-2669
DOI: 10.1007/s00526-006-0035-z

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## Abstract In this paper, we introduce a new energy functional, $\bar \partial $‐energy functional, instead of the total energy functional to investigate the uniqueness of harmonic maps with respect to any given metric on the unit disk. Even in the setting that the Hopf differentials of harmonic m