Instantons and hypercontact structures
The paper under review is related to a paper by \textit{H. Geiges} and \textit{C. B. Thomas} [Sasakian 3-structure on the 7-sphere and the basic instanton (preprint)]. From the abstract: ``Any (anti-)instanton yields a set of three contact forms on \(S^7\). The basic (anti)-instanton yields a hypercontact structure (cf. the above cited paper). Also, we indicate sufficient conditions for the components of an \(SU(2)\) connection to be contact forms. Finally, we prove, under a mild hypothesis, that the three contact forms of any hypercontact structure define the same contact structure''.
scientific article; zbMATH DE number 923743