Characterizations are proved for those harmonic maps from S2 or RP2 into CPn with a few higher order singularities to be Lagrangian, using properties of directrix curves.
Characterizations are proved for those harmonic maps from S2 or RP2 into CPn with a few higher order singularities to be Lagrangian, using properties of directrix curves.
Given a harmonic map φfrom a Riemann surface M into the complex projectivespace CP^n, by using the -transform associated to the map φ, Chern et al. obtained the se-quence of harmonic maps. We call it a harmonic sequ...
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Given a harmonic map φfrom a Riemann surface M into the complex projectivespace CP^n, by using the -transform associated to the map φ, Chern et al. obtained the se-quence of harmonic maps. We call it a harmonic sequence. We will say that a harmonicmap φ: M→CP^n is k-orthogonal if k consecutive maps in the harmonic sequence of φ aremutually orthogonal. In particular, φis conformal if and only if φ is 3-orthogonal and, inall cases, φ is at most (n+1)-orthogonal. There are two possible ways in which the
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