RT Journal Article
T1 Spin-harmonic structures and nilmanifolds
A1 Bazzoni, Giovanni
A1 Martín-Merchán, Lucía
A1 Muñoz, Vicente
AB 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.
YR 2022
FD 2022
LK https://hdl.handle.net/20.500.14352/71669
UL https://hdl.handle.net/20.500.14352/71669
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Ministerio de Educación, Cultura y Deporte
DS Docta Complutense
RD 10 abr 2025