A Function obstruction to the Existence of Complex Structures
General Mathematics
2019-03-11 v2
Abstract
We construct a function for almost-complex Riemannian manifolds. Non-vanishing of the function for the almost-complex structure implies the almost-complex structure is not integrable. Therefore the constructed function is an obstruction for the existence of complex structures from the almost-complex structure. It is a function, not a tensor, so it is easier to work with.
Cite
@article{arxiv.1901.05844,
title = {A Function obstruction to the Existence of Complex Structures},
author = {Jun Ling},
journal= {arXiv preprint arXiv:1901.05844},
year = {2019}
}
Comments
6 pages. removed word "Riemannian" in introduction and general description, for emphasizing that result is independent of any Riemannian metric $g$ on the manifold