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Página principal > Artículos > Artículos publicados > On Sp(2) and Sp(2)· Sp(1) -structures in 8-dimensional vector bundles |
Fecha: | 1997 |
Resumen: | Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to Sp(2) or Sp(2) · Sp(1) if and only if the vectorbundle associated to ξ via a certain outer automorphism of the group Spin(8) has 3 linearly independent sections or contains a 3-dimensional subbundle. Necessary and sufficient conditions for the existence of an Sp(2)-structure in ξ overa closed connected spin manifold of dimension 8 are also given in terms of characteristic classes. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Publicado en: | Publicacions matemàtiques, V. 41 n. 2 (1997) p. 383-401, ISSN 2014-4350 |
19 p, 157.7 KB |