000130970 001__ 130970 000130970 005__ 20240202151703.0 000130970 0248_ $$2sideral$$a64620 000130970 037__ $$aART-2009-64620 000130970 041__ $$aeng 000130970 100__ $$aFernandez, M. 000130970 245__ $$aBalanced Hermitian Metrics from SU(2)-Structures 000130970 260__ $$c2009 000130970 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130970 5203_ $$aWe study the intrinsic geometrical structure of hypersurfaces in 6-manifolds carrying a balanced Hermitian SU(3)-structure, which we call balanced SU(2)-structure. We provide sufficient conditions, in terms of suitable evolution equations, which imply that a 5-manifold with such structure can be isometrically embedded as a hypersurface in a balanced Hermitian SU(3)-manifold. Any 5-dimensional compact nilmanifold has an invariant balanced SU(2)-structure, and we show how some of them can be evolved to give new explicit examples of balanced Hermitian SU(3)-structures. Moreover, for n = 3, 4, we present examples of compact solvmanifolds endowed with a balanced SU(n)-structure such that the corresponding Bismut connection has holonomy equal to SU(n). 000130970 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000130970 590__ $$a1.318$$b2009 000130970 591__ $$aPHYSICS, MATHEMATICAL$$b24 / 47 = 0.511$$c2009$$dQ3$$eT2 000130970 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130970 700__ $$aTomassini,A. 000130970 700__ $$0(orcid)0000-0003-2207-8653$$aUgarte,L.$$uUniversidad de Zaragoza 000130970 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa,R.$$uUniversidad de Zaragoza 000130970 7102_ $$12006$$2440$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Geometría y Topología 000130970 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática 000130970 773__ $$g50, 3 (2009), 033507$$pJ. math. phys.$$tJOURNAL OF MATHEMATICAL PHYSICS$$x0022-2488 000130970 8564_ $$s236060$$uhttps://zaguan.unizar.es/record/130970/files/texto_completo.pdf$$yPostprint 000130970 8564_ $$s1801905$$uhttps://zaguan.unizar.es/record/130970/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000130970 909CO $$ooai:zaguan.unizar.es:130970$$particulos$$pdriver 000130970 951__ $$a2024-02-02-14:50:08 000130970 980__ $$aARTICLE