Bazzoni, GiovanniMartín-Merchán, LucíaMuñoz, Vicente2023-06-222023-06-222022https://hdl.handle.net/20.500.14352/71669We 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.engjournal articleopen access515.163SpinorsGeometric structuresDirac operatorNilmanifoldsTopología1210 Topología