BECAS
TOLCACHIER Alejandro
artículos
Título:
G2-structures on flat solvmanifolds
Autor/es:
ALEJANDRO TOLCACHIER
Revista:
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG
Editorial:
SPRINGER HEIDELBERG
Referencias:
Año: 2022
ISSN:
0025-5858
Resumen:
In this article we study the relation between flat solvmanifolds and G2-geometry. First, we give a classification of 7-dimensional flat splittable solvmanifolds using the classification of finite subgroups of GL(n,Z) for n=5 and n=6. Then, we look for closed, coclosed and divergence-free G2-structures compatible with the flat metric on them. In particular, we provide explicit examples of compact flat manifolds with a torsion-free G2-structure whose finite holonomy is cyclic and contained in G2, and examples of compact flat manifolds admitting a divergence-free G2-structure.
