Regularity of harmonic maps with prescribed singularities

DOI10.1007/BF02096622zbMath0785.53047OpenAlexW1989464477WikidataQ126021121 ScholiaQ126021121MaRDI QIDQ1200672

Yan-yan Li, Tian, Gang

Publication date: 16 January 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02096622

zbMATH Keywords

hyperbolic spaceHawking's conjecturesimilar asymptotic behaviour

Mathematics Subject Classification ID

Black holes (83C57) Global submanifolds (53C40) Harmonic maps, etc. (58E20)

Related Items (max. 100)

The geometry and topology of stationary multiaxisymmetric vacuum black holes in higher dimensions ⋮ Singular harmonic maps and applications to general relativity ⋮ Non-existence of stationary two-black-hole configurations: the degenerate case ⋮ Stationary vacuum black holes in 5 dimensions ⋮ Harmonic maps with prescribed singularities and applications in general relativity ⋮ On the Dirichlet problem for harmonic maps with prescribed singularities ⋮ N-Black hole stationary and axially symmetric solutions of the einstein/maxwell equations ⋮ Stationary black holes: uniqueness and beyond

Cites Work

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• Boundary regularity and the Dirichlet problem for harmonic maps
• A regularity theory for harmonic maps
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• The existence of minimal immersions of 2-spheres
• On the regularity of the minima of variational integrals
• Nonexistence of axially symmetric, stationary solution of Einstein vacuum equation with disconnected symmetric event horizon
• Harmonic maps of manifolds with boundary
• Applications harmoniques de surfaces riemanniennes
• On rotating black holes in equilibrium in general relativity
• Mappings minimizing theLp norm of the gradient
• Harmonic Mappings of Riemannian Manifolds

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