Energy identity for harmonic maps into standard stationary Lorentzian manifolds

DOI10.1016/J.GEOMPHYS.2017.01.006zbMath1359.58012OpenAlexW2573840018MaRDI QIDQ512129

Yong-Cai Geng, Sumit K. Garg

Publication date: 23 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.01.006

zbMATH Keywords

blow-upharmonic mapsLorentzian energy identitystandard stationary Lorentzian manifolds

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Harmonic maps, etc. (58E20) Blow-up in context of PDEs (35B44)

Related Items (5)

Partial regularity of harmonic maps from a Riemannian manifold into a Lorentzian manifold ⋮ The qualitative behavior for approximate Dirac-harmonic maps into stationary Lorentzian manifolds ⋮ Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces ⋮ Global existence of the harmonic map heat flow into Lorentzian manifolds ⋮ A global weak solution to the Lorentzian harmonic map flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bubble tree convergence for harmonic maps
• A duality theorem for Willmore surfaces
• The existence of minimal immersions of 2-spheres
• The large \(N\) limit of superconformal field theories and supergravity
• Energy identity for a class of approximate harmonic maps from surfaces
• Regularity for harmonic maps into certain pseudo-Riemannian manifolds
• Conservation laws for conformally invariant variational problems
• An existence theorem for surfaces of constant mean curvature
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
• Partial regularity for harmonic maps and related problems

This page was built for publication: Energy identity for harmonic maps into standard stationary Lorentzian manifolds