89891 20210902121643.0 doi 10.1007/s00229-019-01133-w sideral 116288 ART-2020-116288 eng Manero García, Víctor Manuel Universidad de Zaragoza (orcid)0000-0001-9884-7995 Compact solvmanifolds with calibrated and cocalibrated G2-structures 2020 Access copy available to the general public Unrestricted We 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. info:eu-repo/grantAgreement/ES/AEI-FEDER/MTM2017-85649-P info:eu-repo/grantAgreement/ES/DGA-FEDER/E22-17R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.839 2020 MATHEMATICS 201 / 330 = 0.609 2020 Q3 T2 0.752 2020 Mathematics (miscellaneous) 2020 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 162, 3-4 (2020), 315-339 Manuscr. math. Manuscripta Mathematica 0025-2611 300175 http://zaguan.unizar.es/record/89891/files/texto_completo.pdf Postprint 17995 http://zaguan.unizar.es/record/89891/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:89891 articulos driver 2021-09-02-09:01:42 ARTICLE