Abstract:In this paper we first prove a characterization formula for biharmonic maps in Euclidean spheres and, as an application, we construct a family of biharmonic maps from a flat 2-dimensional torus T into the 3-dimensional unit Euclidean sphere S 3 . Then, for the special case of maps between spheres whose components are given by homogeneous polynomials of the same degree, we find a more specific form for their bitension field. Further, we apply this formula to the case when the degree is 2, and we obtain the clas… Show more
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