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On the construction of some new harmonic maps from m to m . (English) Zbl 0989.58004
Applying symmetric methods, the author constructs new harmonic maps g: m m which satisfy certain conditions regarding boundedness.
MSC:
58E20Harmonic maps between infinite-dimensional spaces
58D19Global group actions and symmetry properties on manifolds
References:
[1]Y. G. Shi, L. F. Tam, Harmonic Maps from m to n with Symmetry, To appear in Pacif J Math
[2]H. I. Choi, A. Treibergs, Gauss map of space like constant mean curvature hypersurface of Minkowski Space, J. Diff. Geom., 1990, 32:775–817
[3]Z. C. Han, L. F. Tam, A. Treibergs, T. Y. H.Wan, Harmonic maps From the Complex Plane into Surface with Nonpositive 0Curvature, Comm. Anal. Geom., 1995, 3:85–114
[4]L. F. Tam, T. Y. H. Wan, Harmonic Diffeomorphism into Cartan-Hadamard Surface with Prescribed Hopf Differentials, Comm. Anal. Geom., 1994, 2:593–625
[5]P. Li, J. -P. Wang, Convex Hull Properties of Harmonic Maps, In press