Construction of harmonic maps between cohomogeneity one manifolds

We construct equivariant harmonic maps between cohomogeneity one manifolds.

💡 Research Summary

The paper investigates the existence of equivariant harmonic maps between cohomogeneity‑one Riemannian manifolds, i.e. manifolds on which a compact Lie group acts isometrically with a one‑dimensional orbit space. After recalling the variational definition of harmonic maps and the associated tension field, the authors explain how the equivariance assumption reduces the full semilinear elliptic system to a single ordinary differential equation (ODE) for a scalar function (r(t)) defined on the interior of the orbit space. The reduced equation has the form
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