Regularity of harmonic maps into a static Lorentzian manifold

DOI10.1007/BF02921797zbMath0956.58012OpenAlexW1979332143MaRDI QIDQ1568960

Takeshi Isobe

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1007/bf02921797

zbMATH Keywords

Dirichlet problemLorentzian manifoldharmonic mapswarped productreguality

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Harmonic maps, etc. (58E20)

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 ⋮ A global weak solution to the Lorentzian harmonic map flow ⋮ Regularity for Dirac-harmonic maps into certain pseudo-Riemannian manifolds

Cites Work

• On the existence of multiple geodesics in static space-times
• A regularity theory for harmonic maps
• The existence of minimal immersions of 2-spheres
• Partial regularity for stationary harmonic maps into spheres
• Multiple periodic trajectories on stationary space-times
• On the singular set of stationary harmonic maps
• Compensated compactness and Hardy spaces
• The Dirichlet-problem for harmonic maps from the disk into a Lorentzian warped product
• An existence theorem for surfaces of constant mean curvature
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Weakly Differentiable Functions
• Unnamed Item

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