In complex geometry, a Hopf manifold (Hopf 1948) is obtained as a quotient of the complex vector space (with zero deleted)
Contents
Two dimensional Hopf manifolds are called Hopf surfaces.
Examples
In a typical situation,
Properties
A Hopf manifold
Hypercomplex structure
Even-dimensional Hopf manifolds admit hypercomplex structure. The Hopf surface is the only compact hypercomplex manifold of quaternionic dimension 1 which is not hyperkähler.