Equivariant primitive harmonic maps into k-symmetric spaces, with applications to Willmore surfaces

In this note we discuss the construction of equivariant primitive harmonic maps into k-symmetric spaces and give many applications to the construction of Willmore surfaces. In particular, examples of S¹-equivariant Willmore Moebius strips in S³ are obtained as generalizations of the Lawson minimal Klein Bottles in S³.