New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself (Q1118876)
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scientific article; zbMATH DE number 4096416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself |
scientific article; zbMATH DE number 4096416 |
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New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself (English)
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1988
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The authors give an explicit construction of a one-parameter family of nonconformal harmonic diffeomorphisms of the hyperbolic plane. They are realized as the Gauss map of spacelike surfaces of revolution of constant mean curvature in the three-dimensional Minkowski space. A description of the boundary behavior of such harmonic maps is also given.
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nonconformal harmonic diffeomorphisms
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hyperbolic plane
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Minkowski space
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harmonic maps
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