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Let G2(2) be the non‐compact connected simple Lie group of type G2 over , and let M be a connected analytic complete pseudo‐Riemannian manifold that admits an isometric G2(2)‐action with a dense orbit. For the case , we provide a full description of the manifold M, its geometry and its G2(2)‐action. The latter are always given in terms of a Lie group geometry related to G2(2), and in one...
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