Einstein Metrics and Equivariant Harmonic Maps: The Einstein Detection Principle
Differential Geometry
2026-08-05 v1
Abstract
We develop a new analytical framework for the local deformation theory of compact cohomogeneity-one Einstein metrics. The framework combines an intrinsic reformulation of the Einstein boundary-value problem with an auxiliary theory of equivariant harmonic maps and leads to what we call the Einstein Detection Principle. The auxiliary harmonic maps generate a rich variational, elliptic and spectral framework while introducing no additional Einstein degrees of freedom.
Cite
@article{arxiv.2608.04952,
title = {Einstein Metrics and Equivariant Harmonic Maps: The Einstein Detection Principle},
author = {Anna Siffert},
journal= {arXiv preprint arXiv:2608.04952},
year = {2026}
}