000089891 001__ 89891 000089891 005__ 20210902121643.0 000089891 0247_ $$2doi$$a10.1007/s00229-019-01133-w 000089891 0248_ $$2sideral$$a116288 000089891 037__ $$aART-2020-116288 000089891 041__ $$aeng 000089891 100__ $$0(orcid)0000-0001-9884-7995$$aManero García, Víctor Manuel$$uUniversidad de Zaragoza 000089891 245__ $$aCompact solvmanifolds with calibrated and cocalibrated G2-structures 000089891 260__ $$c2020 000089891 5060_ $$aAccess copy available to the general public$$fUnrestricted 000089891 5203_ $$aWe 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. 000089891 536__ $$9info:eu-repo/grantAgreement/ES/AEI-FEDER/MTM2017-85649-P$$9info:eu-repo/grantAgreement/ES/DGA-FEDER/E22-17R 000089891 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000089891 590__ $$a0.839$$b2020 000089891 591__ $$aMATHEMATICS$$b201 / 330 = 0.609$$c2020$$dQ3$$eT2 000089891 592__ $$a0.752$$b2020 000089891 593__ $$aMathematics (miscellaneous)$$c2020$$dQ2 000089891 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000089891 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática 000089891 773__ $$g162, 3-4 (2020), 315-339$$pManuscr. math.$$tManuscripta Mathematica$$x0025-2611 000089891 8564_ $$s300175$$uhttps://zaguan.unizar.es/record/89891/files/texto_completo.pdf$$yPostprint 000089891 8564_ $$s17995$$uhttps://zaguan.unizar.es/record/89891/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000089891 909CO $$ooai:zaguan.unizar.es:89891$$particulos$$pdriver 000089891 951__ $$a2021-09-02-09:01:42 000089891 980__ $$aARTICLE