By C. Wood

New examples of harmonic unit vector fields on hyperbolic 3-space are constructed by exploiting the reduction of symmetry arising from the foliation by horospheres. This is compared and contrasted with the analogous construction in Euclidean 3-space, using a foliation by planes, which produces some new examples of harmonic maps from... Show more

December 31, 2007

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Bending and stretching unit vector fields in Euclidean and hyperbolic 3-space

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