2026-06-01T02:23:18Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/716692023-08-27T23:59:13Zcom_20.500.14352_14col_20.500.14352_15

Spin-harmonic structures and nilmanifolds Bazzoni, Giovanni Martín-Merchán, Lucía Muñoz, Vicente 515.163 Spinors Geometric structures Dirac operator Nilmanifolds Topología 1210 Topología We introduce spin-harmonic structures, a class of geometric structures on Riemannian manifolds of low dimension which are defined by a harmonic unitary spinor. Such structures are related to SU(2) (dim = 4, 5), SU(3) (dim = 6) and G2 (dim = 7) structures; in dimension 8, a spin-harmonic structure is equivalent to a balanced Spin(7) structure. As an application, we obtain examples of compact 8-manifolds endowed with non-integrable Spin(7) structures of balanced type. Ministerio de Economía y Competitividad (MINECO) Ministerio de Educación, Cultura y Deporte Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas FALSE unpub 2023-06-22T10:47:22Z 2023-06-22T10:47:22Z 2022 journal article https://hdl.handle.net/20.500.14352/71669 XXXX-XXXX eng MTM2015-63612-P FPU16/03475 open access application/pdf