Calabi–Eckmann manifold
id:
calabi-eckmann-manifold-315-7087769
title:
Calabi–Eckmann manifold
text:
In complex geometry, a part of mathematics, a Calabi–Eckmann manifold, 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 C n ∖ { 0 } × C m ∖ { 0 } , where m , n > 1 , equipped with an action of the group C : where α ∈ C ∖ R is a fixed complex number. It is easy to check that this action is free and proper,
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Calabi%E2%80%93Eckmann_manifold
date created:
date modified:
2023-11-08T12:04:03Z
main entity:
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13
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