A study of ordinary differential equations arising from equivariant harmonic maps (Q1346800)

In the theory of harmonic maps between Riemannian manifolds, the problems of existence and construction are basic and important. One of the methods of constructing harmonic maps makes use of ordinary differential equations. For the construction of equivariant harmonic maps, it is important to study ordinary differential equations with singularities. In the paper under review, the author studies the existence of a positive solution of an equation appearing in the study of equivariant harmonic maps between two complete non-compact Riemannian manifolds, for instance, the real (or complex) Euclidean space, the real hyperbolic space of constant negative curvature \(-1\) and the complex hyperbolic space.