Any (anti)-instanton yields a set of three contact forms on S7. The basic (anti)-instanton yields a hypercontact structure. 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.
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology