geometry, complex numbers, complex line
$dim = 1$: Riemann surface, super Riemann surface
The Newlander-Nirenberg theorem states that an almost complex structure comes from a complex structure precisely if its Nijenhuis tensor vanishes.
For discussion of this in terms of integrability of G-structures see there at Examples – Complex structure.
Textbook accounts include
Reviews include
Last revised on January 15, 2015 at 13:27:51. See the history of this page for a list of all contributions to it.