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Harmonic mappings of spheres. (English) Zbl 0279.53055


MSC:

53C99 Global differential geometry
58J99 Partial differential equations on manifolds; differential operators
31C05 Harmonic, subharmonic, superharmonic functions on other spaces
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
33C55 Spherical harmonics
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References:

[1] Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955. · Zbl 0064.33002
[2] James Eells Jr. and J. H. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math. 86 (1964), 109 – 160. · Zbl 0122.40102 · doi:10.2307/2373037
[3] Halldór I. Elĭasson, Variation integrals in fiber bundles, Global Analysis (Proc. Sympos. Pure Math., Vol. XVI, Berkeley, Calif., 1968), Amer. Math. Soc., Providence, R.I., 1970, pp. 67 – 89.
[4] K. Uhlenbeck, Harmonic maps; a direct method in the calculus of variations, Bull. Amer. Math. Soc. 76 (1970), 1082 – 1087. · Zbl 0208.12802
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