Abstract
In the context of sections of Riemannian fibre bundles, the analogue of a harmonic mapping of Riemannian manifolds is a harmonic section. Existence and unique continuation theory for harmonic sections generalizes, and may be derived from, that for harmonic maps.
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The results presented here are extracted from the author's Ph.D. thesis.
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Wood, C.M. An existence theorem for harmonic sections. Manuscripta Math 68, 69–75 (1990). https://doi.org/10.1007/BF02568751
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DOI: https://doi.org/10.1007/BF02568751