Calabi–Eckmann manifold

In complex geometry, a part of mathematics, a Calabi–Eckmann manifold (or, often, Calabi–Eckmann space), named after Eugenio Calabi and Beno Eckmann, is a complex, homogeneous, non-Kähler manifold, homeomorphic to a product of two odd-dimensional spheres of dimension ≥ 3. The Calabi–Eckmann manifold is constructed as follows. Consider the space , m,n > 1, equipped with an action of a group : where A Calabi–Eckmann manifold M is non-Kähler, because The natural projection induces a holomorphic map from the corresponding Calabi–Eckmann manifold M to by the lattice

Calabi–Eckmann manifold

In complex geometry, a part of mathematics, a Calabi–Eckmann manifold (or, often, Calabi–Eckmann space), named after Eugenio Calabi and Beno Eckmann, is a complex, homogeneous, non-Kähler manifold, homeomorphic to a product of two odd-dimensional spheres of dimension ≥ 3. The Calabi–Eckmann manifold is constructed as follows. Consider the space , m,n > 1, equipped with an action of a group : where A Calabi–Eckmann manifold M is non-Kähler, because The natural projection induces a holomorphic map from the corresponding Calabi–Eckmann manifold M to by the lattice