Einstein SU(3) and G₂ structures

2016/07/26 by Víctor Manero, Manero, Víctor
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1607.07775

openalex publication_date 2016/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe a method to obtain SU(3)-structures and G₂-structures on 6 and 7-dimensional manifolds respectively, such that its associated metric is Einstein. More concretely, we have that different classes of SU(2) and SU(3)-structures, on 5 and 6-dimensional manifolds whose induced metric is Einstein can produce, via warped products, different classes SU(3) and G₂-structures such that its associated metric is also Einstein.

Related

• The intrinsic torsion of SU(3) and G₂ structures
• Generalized Eta-Einstein and (κ,μ)-structures
• About left-invariant geometry and homogeneous pseudo-Riemannian Einstein structures on the Lie group SU(3)
• SU(3)-structures on hypersurfaces of manifolds with G₂-structure
• Einstein Metrics via Intrinsic or Parallel Torsion