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A short survey on biharmonic maps between Riemannian manifolds. (English) Zbl 1140.58004
This survey article covers several aspects of biharmonic map theory, mainly featuring geometric examples, and excluding regularity issues. Among the topics discussed are non-existence results, biharmonic Riemannian immersions, biharmonic Riemannian submersions, biharmonic maps between Euclidean spaces, conformal transformations, biharmonic morphisms, and the second variation.

MSC:
58E20Harmonic maps between infinite-dimensional spaces