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

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  • Raul Quiroga†Barranco

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.

Suggested Citation

  • Raul Quiroga†Barranco, 2018. "Pseudo†Riemannian G2(2)†manifolds with dimension at most 21," Mathematische Nachrichten, Wiley Blackwell, vol. 291(8-9), pages 1390-1399, June.
  • Handle: RePEc:bla:mathna:v:291:y:2018:i:8-9:p:1390-1399
    DOI: 10.1002/mana.201600382
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