Indefinite symmetric spaces with $G_{2(2)}$-structure

Abstract

We determine all indecomposable pseudo-Riemannian symmetric spaces of signature (4,3) whose holonomy is contained in $G_{2(2)}\subset SO(4,3)$.

25 pages

Cited by in corpus (6)

• Calibrated and parallel structures on almost Abelian Lie algebras
• Diagram involutions and homogeneous Ricci-flat metrics
• Local Type I Metrics with Holonomy in ${\mathrm{G}}_2^{\ast }$
• Local Type III metrics with holonomy in ${\mathrm{G}}_2^{\ast }$
• Parallel spinors for ${\mathrm{G}}_2^{\ast }$ and isotropic structures
• On compact homogeneous ${\mathrm{G}}_{2(2)}$-manifolds