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Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds
Author(s) -
Shath J.,
TahvildarZadeh A.
Publication year - 1992
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160450803
Subject(s) - mathematics , minkowski space , equivariant map , harmonic map , symmetric space , manifold (fluid mechanics) , riemannian manifold , pure mathematics , mathematical analysis , harmonic coordinates , space (punctuation) , regular polygon , minkowski addition , harmonic , ricci curvature , geometry , curvature , physics , mechanical engineering , linguistics , philosophy , quantum mechanics , engineering
We prove global regularity for the solution to the Cauchy problem with regular data for an equivariant harmonic map from the 2 + 1‐dimensional Minkowski space into a two‐dimensional, rotationally symmetric, and geodesically convex Riemannian manifold.
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