Pseudo‐Riemannian    G   2  (  2  )    ‐manifolds with dimension at most  21 | Zendy

QuirogaBarranco Raul | Zendy

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Pseudo‐Riemannian G 2 ( 2 ) ‐manifolds with dimension at most 21

Author(s) -

QuirogaBarranco Raul

Publication year - 2018

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201600382

Subject(s) - mathematics , quotient , lie group , riemannian manifold , pure mathematics , manifold (fluid mechanics) , simple lie group , simply connected space , orbit (dynamics) , action (physics) , lattice (music) , dimension (graph theory) , mathematical analysis , geometry , physics , mechanical engineering , acoustics , engineering , aerospace engineering , quantum mechanics

Let G 2(2) be the non‐compact connected simple Lie group of type G 2 over R , and let M be a connected analytic complete pseudo‐Riemannian manifold that admits an isometric G 2(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 G 2(2) ‐action. The latter are always given in terms of a Lie group geometry related to G 2(2) , and in one case M is essentially the quotient of SO 0 (3, 4) by a lattice.

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