Work

A Function obstruction to the Existence of Complex Structures

Year: 2019

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1901.05844

Author: Ling, Jun

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2910818376

Cites: 2

Cited by:

Related to: 10