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- W2224035742 abstract "A manifold with an irreducible $SO(3)$-structure is a $5$-manifold $M$ whose structure group can be reduced to the group $SO(3)$, non-standardly imbedded in $SO(5)$. The study of such manifolds has been initiated by M. Bobie'nski and P. Nurowski who, in particular, have shown that one can define four $CR$-structures on a twistor-like $7$-dimensional space associated to $M$. In the present paper it is observed that these $CR$-structures are induced by almost contact metric structures. The purpose of the paper is to study the problem of normality of these structures. The main result gives necessary and sufficient condition for normality in geometric terms of the base manifold $M$. Examples illustrating this result are presented at the end of the paper." @default.
- W2224035742 created "2016-06-24" @default.
- W2224035742 creator A5076991031 @default.
- W2224035742 date "2013-05-21" @default.
- W2224035742 modified "2023-09-27" @default.
- W2224035742 title "Normality of the twistor space of a $5$-manifold with a $SO(3)$-structure" @default.
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