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arXiv · 2307.13235

Non-compact Einstein manifolds with unimodular isometry group

Christoph Böhm·Ramiro A. Lafuente
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Abstract

We show that a negative Einstein manifold admitting a proper isometric action of a connected unimodular Lie group with compact, possibly singular, orbit space splits isometrically as a product of a symmetric space and a compact negative Einstein manifold. The proof involves the theory of polar actions, Lie-theoretic arguments and maximum principles.

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Christoph Böhm, Ramiro A. Lafuente. 2023-07-25. Non-compact Einstein manifolds with unimodular isometry group. https://arxiv.org/abs/2307.13235

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