In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit disk in Cn, such that the transition maps are holomorphic.
The term complex manifold is variously used to mean a complex manifold in the sense above (which can be specified as an integrable complex manifold), and an almost complex manifold.
Read more about Complex Manifold: Implications of Complex Structure, Examples of Complex Manifolds, Disk Vs. Space Vs. Polydisk, Almost Complex Structures, Kähler and Calabi–Yau Manifolds
Famous quotes containing the words complex and/or manifold:
“The human mind is so complex and things are so tangled up with each other that, to explain a blade of straw, one would have to take to pieces an entire universe.... A definition is a sack of flour compressed into a thimble.”
—Rémy De Gourmont (1858–1915)
“Civilisation is hooped together, brought
Under a rule, under the semblance of peace
By manifold illusion....”
—William Butler Yeats (1865–1939)