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Harmonic maps in three dimensional Minkowski space with image near geodesics - MaRDI portal

Harmonic maps in three dimensional Minkowski space with image near geodesics (Q1340950)

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scientific article; zbMATH DE number 704940
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Harmonic maps in three dimensional Minkowski space with image near geodesics
scientific article; zbMATH DE number 704940

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    Harmonic maps in three dimensional Minkowski space with image near geodesics (English)
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    21 December 1994
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    This paper is dealing with the harmonic maps from Minkowski space \(R^{2+1}\) into a complete Riemannian manifold. The existence of the regular harmonic map as a perturbation of geodesics is proved. Geometrically, the solution lies in a small tubular region of a given geodesic on the target manifold.
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    harmonic maps
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    Minkowski space
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    complete Riemannian manifold
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    perturbation of geodesics
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