doi:10.1007/s00229-019-01133-wengManero García, Víctor ManuelCompact solvmanifolds with calibrated and cocalibrated G2-structuresART-2020-116288We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed and coclosed G2-structures starting from 6-dimensional solvable Lie algebras with symplectic half-flat and half-flat SU(3)-structures, respectively. Provided the existence of a lattice for the corresponding Lie groups we obtain new examples of compact solvmanifolds endowed with calibrated and cocalibrated G2-structures. As an application of this construction we also obtain a formal compact solvmanifold with first Betti number b1=1 endowed with a calibrated G2-structure and such that does not admit any invariant torsion-free G2-structure.2020http://zaguan.unizar.es/record/8989110.1007/s00229-019-01133-whttp://zaguan.unizar.es/record/89891oai:zaguan.unizar.es:89891info:eu-repo/grantAgreement/ES/AEI-FEDER/MTM2017-85649-Pinfo:eu-repo/grantAgreement/ES/DGA-FEDER/E22-17RManuscripta Mathematica 162, 3-4 (2020), 315-339All rights reservedhttp://www.europeana.eu/rights/rr-f/info:eu-repo/semantics/openAccess