Non-compact Einstein manifolds with unimodular isometry group
Differential Geometry
2023-07-26 v1
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.
Cite
@article{arxiv.2307.13235,
title = {Non-compact Einstein manifolds with unimodular isometry group},
author = {Christoph Böhm and Ramiro A. Lafuente},
journal= {arXiv preprint arXiv:2307.13235},
year = {2023}
}
Comments
26 pages