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arXiv · 2601.15022

The Initial Value Problem for Harmonic maps of Cohomogeneity One manifolds

Anna Siffert
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Abstract

We set up and solve the initial value problem for equivariant harmonic maps of cohomogeneity one manifolds, i.e. we show the local existence of a harmonic map in the neighborhood of a singular orbit. Furthermore, we present some theory of regular-singular systems of first order.

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Anna Siffert. 2026-01-21. The Initial Value Problem for Harmonic maps of Cohomogeneity One manifolds. https://arxiv.org/abs/2601.15022

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