Conformal-biharmonic index of the identity map coincides with the harmonic index on such Einstein manifolds, except on the 4-dimensional sphere.
Wood.Harmonic morphisms between Riemannian manifolds, volume 29 ofLondon Mathematical Society Monographs
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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The paper proves local existence of equivariant harmonic maps near singular orbits in cohomogeneity one manifolds and develops theory for regular-singular first-order ODE systems.
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On the conformal-biharmonic stability of the identity map of Einstein manifolds
Conformal-biharmonic index of the identity map coincides with the harmonic index on such Einstein manifolds, except on the 4-dimensional sphere.
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The Initial Value Problem for Harmonic maps of Cohomogeneity One manifolds
The paper proves local existence of equivariant harmonic maps near singular orbits in cohomogeneity one manifolds and develops theory for regular-singular first-order ODE systems.