Existence of (Dirac-)harmonic maps from degenerating (spin) surfaces

DOI10.1007/s12220-021-00676-3zbMath1485.53084arXiv2006.07154OpenAlexW3034288225MaRDI QIDQ2238546

Jingyong Zhu, Juergen Jost

Publication date: 1 November 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07154

zbMATH Keywords

existenceharmonic mapenergy identityDirac-harmonic map\(\alpha\)-Dirac-harmonic mapdegenerating surfaces\(\alpha\)-harmonic map

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (3)

Dirac-harmonic maps with potential ⋮ Morse-Floer theory for superquadratic Dirac-geodesics ⋮ Uniqueness of Dirac-harmonic maps from a compact surface with boundary

Cites Work

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• Gromov's compactness theorem for pseudo-holomorphic curves
• The Dirac operator on hyperbolic manifolds of finite volume
• \( \alpha \)-Dirac-harmonic maps from closed surfaces
• Regularity theorems and energy identities for Dirac-harmonic maps
• Eigenvalues of Dirac operators for hyperbolic degenerations
• Geometry and Physics
• Short-time existence of the α-Dirac-harmonic map flow and applications
• Riemannian geometry and geometric analysis

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