Regularity for weakly Dirac-harmonic maps to hypersurfaces

DOI10.1007/s10455-008-9142-8zbMath1171.58005OpenAlexW2031761186MaRDI QIDQ2391013

Miaomiao Zhu

Publication date: 24 July 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9142-8

zbMATH Keywords

regularityhypersurfaceDirac harmonic map

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

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Cites Work

• Unnamed Item
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• Dirac-harmonic maps
• Conservation laws for conformally invariant variational problems
• An existence theorem for surfaces of constant mean curvature
• Regularity theorems and energy identities for Dirac-harmonic maps
• Riemannian geometry and geometric analysis