130970 20240202151703.0 sideral 64620 ART-2009-64620 eng Fernandez, M. Balanced Hermitian Metrics from SU(2)-Structures 2009 We 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). Access copy available to the general public Unrestricted info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.318 2009 PHYSICS, MATHEMATICAL 24 / 47 = 0.511 2009 Q3 T2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Tomassini,A. Ugarte,L. Universidad de Zaragoza (orcid)0000-0003-2207-8653 Villacampa,R. Universidad de Zaragoza (orcid)0000-0001-6790-7342 2006 440 Universidad de Zaragoza Dpto. Matemáticas Área Geometría y Topología 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 50, 3 (2009), 033507 J. math. phys. JOURNAL OF MATHEMATICAL PHYSICS 0022-2488 236060 http://zaguan.unizar.es/record/130970/files/texto_completo.pdf Postprint 1801905 http://zaguan.unizar.es/record/130970/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:130970 articulos driver 2024-02-02-14:50:08 ARTICLE