Spin Structures on Flat Manifolds

• Autores: Karel Dekimpe, M. Sadowski, Andrzej Szczepanski
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 148, Nº 4, 2006, págs. 283-296
• Idioma: inglés
• DOI: 10.1007/s00605-005-0367-3
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• Resumen

  • The aim of this paper is to present some results about spin structures on flat manifolds. We prove that any finite group can be the holonomy group of a flat spin manifold. Moreover, we shall give some methods of constructing spin structures related to the holonomy representation.