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19 p, 157.7 KB On Sp(2) and Sp(2)· Sp(1) -structures in 8-dimensional vector bundles / Cadek, Martin (Academy of Sciences of the Czech Republic. Institute of Mathematics) ; Vanzura, Jiri (Academy of Sciences of the Czech Republic. Institute of Mathematics)
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. [...]
1997 - 10.5565/PUBLMAT_41297_05
Publicacions matemàtiques, V. 41 n. 2 (1997) p. 383-401  

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