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arXiv · 2608.04952

Einstein Metrics and Equivariant Harmonic Maps: The Einstein Detection Principle

Anna Siffert
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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.

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Anna Siffert. 2026-08-05. Einstein Metrics and Equivariant Harmonic Maps: The Einstein Detection Principle. https://arxiv.org/abs/2608.04952

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