Pseudo†Riemannian G2(2)†manifolds with dimension at most 21

Raul Quiroga†Barranco

Mathematische Nachrichten, 2018, vol. 291, issue 8-9, 1390-1399

Abstract: Let G2(2) be the non†compact connected simple Lie group of type G2 over R, 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 dim(M)≤21, 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 case M is essentially the quotient of SO0(3, 4) by a lattice.

Date: 2018
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