Non-K\"ahler complex structures on $R^4$
Geometric Topology
2017-06-14 v4 Algebraic Geometry
Complex Variables
Differential Geometry
Symplectic Geometry
Abstract
We construct the first examples of non-K\"ahler complex structures on . These complex surfaces have some analogies with the complex structures constructed in early Fifties by Calabi and Eckmann on the products of two odd-dimensional spheres. However, our construction is quite different from that of Calabi and Eckmann.
Keywords
Cite
@article{arxiv.1501.06097,
title = {Non-K\"ahler complex structures on $R^4$},
author = {Antonio J. Di Scala and Naohiko Kasuya and Daniele Zuddas},
journal= {arXiv preprint arXiv:1501.06097},
year = {2017}
}
Comments
9 pages, 3 figures, minor revision, Definition 1 has been changed