Abstract.
Covering groups of the conformal pseudo-unitary groups are given. Conformal flat pseudo-unitary geometry is studied. Two fundamental diagrams are given. We introduce and give geometrical characterizations of groups called pseudo-unitary conformal spinoriality groups.
The study of pseudo-unitary spin structures and conformal pseudo-unitary spin structures over an almost complex 2n-dimensional manifold V is now presented.
The part played by groups called pseudo-unitary conformal groups is emphasized. The links between pseudo-unitary spin structures and pseudo-unitary conformal spin ones are given.
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Received: December 2005. Accepted: March 2006.
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Anglès, P. Pseudo-Unitary Conformal Spin Structures. AACA 18, 325–351 (2008). https://doi.org/10.1007/s00006-008-0076-9
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DOI: https://doi.org/10.1007/s00006-008-0076-9