000130939 001__ 130939 000130939 005__ 20240202151703.0 000130939 0247_ $$2doi$$a10.1007/s00220-019-03355-1 000130939 0248_ $$2sideral$$a110666 000130939 037__ $$aART-2019-110666 000130939 041__ $$aeng 000130939 100__ $$0(orcid)0000-0001-9884-7995$$aManero, V.$$uUniversidad de Zaragoza 000130939 245__ $$aEinstein Warped G 2 and Spin(7) Manifolds 000130939 260__ $$c2019 000130939 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130939 5203_ $$aIn this paper most of the classes of G 2 -structures with Einstein induced metric of negative, null, or positive scalar curvature are realized. This is carried out by means of warped G 2 -structures with fiber an Einstein SU(3) manifold. The torsion forms of any warped G 2 -structure are explicitly described in terms of the torsion forms of the SU(3)-structure and the warping function, which allows to give characterizations of the principal classes of Einstein warped G 2 manifolds. Similar results are obtained for Einstein warped Spin(7) manifolds with fiber a G 2 manifold. 000130939 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P 000130939 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000130939 590__ $$a2.102$$b2019 000130939 591__ $$aPHYSICS, MATHEMATICAL$$b13 / 55 = 0.236$$c2019$$dQ1$$eT1 000130939 592__ $$a1.592$$b2019 000130939 593__ $$aStatistical and Nonlinear Physics$$c2019$$dQ1 000130939 593__ $$aMathematical Physics$$c2019$$dQ1 000130939 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130939 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte, L.$$uUniversidad de Zaragoza 000130939 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000130939 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática 000130939 773__ $$g369, 2 (2019), 637-673$$pCommun. Math. Phys.$$tCommunications in Mathematical Physics$$x0010-3616 000130939 8564_ $$s329184$$uhttps://zaguan.unizar.es/record/130939/files/texto_completo.pdf$$yPostprint 000130939 8564_ $$s1494462$$uhttps://zaguan.unizar.es/record/130939/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130939 909CO $$ooai:zaguan.unizar.es:130939$$particulos$$pdriver 000130939 951__ $$a2024-02-02-14:47:39 000130939 980__ $$aARTICLE