2015/07/27 by Víctor Manero, Victor Manero, Manero, Victor
Mathematics · #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.DG
paper · pdf · doi:10.48550/arxiv.1507.07352
Some typos corrected. References added
openalex publication_date 2015/07/27 · arxiv created 2016/02/14 · arxiv updated 2016/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a method to obtain new 7-dimensional Lie algebras endowed with closed and coclosed G2-structures starting from 6-dimensional Lie algebras with symplectic half- at SU(3)-structures and half- at SU(3)- structures, respectively. Finally, we describe all the 7-dimensional Lie algebras with a closed G2-structure that are obtained with this method from the 6-dimensional solvable Lie algebras admitting a symplectic half- at SU(3)- structure.