12:00 pm Friday, June 17, 2005
Sophex: Complex Manifolds
 by Nick Leger in RLM 11.176
An almost complex structure on a real manifold is a smooth choice of isomorphisms, J, on each tangent space, such that J squares to -1. Given a complex manifold, there is a natural almost complex structure induced on the underlying real manifold. The Newlander-Nirenberg theorem decides when the converse is true: that is, given an almost complex structure, when is it induced by an actual complex structure on the manifold? I will give a brief introduction to complex manifolds and sketch a proof of this important theorem. Submitted by
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