Vierdimensionale \({\mathbb{C}}^*\cdot SU_ 2{\mathbb{C}}\)-Ebenen. (Four- dimensional \({\mathbb{C}}^*\cdot SU_ 2{\mathbb{C}}\)-planes) (Q915125)

The author gives some interesting examples of topological affine planes over the complex field \({\mathbb{C}}\), of topological dimension 4, with an automorphism group of topological dimension 5, containing \(C^*\cdot SU_ 2(C)\). The projective closures of these planes are of Lenz-Barlotti type I.2.