An intrinsic definition of the Dirac operator.
W. H. Greub, S. Halperin (1975)
Collectanea Mathematica
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W. H. Greub, S. Halperin (1975)
Collectanea Mathematica
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Bureš, Jarolím, Souček, Vladimír
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A. Pràstaro, T. Regge (1986)
Annales de l'I.H.P. Physique théorique
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Martin Cadek, Jirí Vanzura (1997)
Publicacions Matemàtiques
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Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to S(2) or S(2) · S(1) if and only if the vector bundle 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 S(2)- structure in ξ over a closed connected spin manifold of dimension 8 are also given in terms of characteristic classes. ...
Richard Kerner (1981)
Annales de l'I.H.P. Physique théorique
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