engFernandez, M.Tomassini,A.Ugarte,L.Villacampa,R.Balanced Hermitian Metrics from SU(2)-StructuresART-2009-64620We 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).2009http://zaguan.unizar.es/record/130970http://zaguan.unizar.es/record/130970oai:zaguan.unizar.es:130970JOURNAL OF MATHEMATICAL PHYSICS 50, 3 (2009), 033507by-nc-ndhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccess