nLab
Newlander-Nirenberg theorem

Contents

Idea

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.

References

Textbook accounts include

Reviews include

  • Ben McMillan, The Newlander-Nirenbeg theorem (pdf)

Last revised on January 15, 2015 at 13:27:51. See the history of this page for a list of all contributions to it.