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Harmonic Map

A harmonic map between Riemannian Manifolds can be viewed as a generalization of a Geodesic when the domain Dimension is one, or of a Harmonic Function when the range is a Euclidean Space.

See also Bochner Identity, Euclidean Space, Geodesic, Harmonic Function, Riemannian Manifold


References

Burstal, F.; Lemaire, L.; and Rawnsley, J. ``Harmonic Maps Bibliography.'' http://www.bath.ac.uk/~masfeb/harmonic.html.

Eels, J. and Lemaire, L. ``A Report on Harmonic Maps.'' Bull. London Math. Soc. 10, 1-68, 1978.

Eels, J. and Lemaire, L. ``Another Report on Harmonic Maps.'' Bull. London Math. Soc. 20, 385-524, 1988.




© 1996-9 Eric W. Weisstein
1999-05-25