Generalised K\"ahler Structure on $\mathbb{C}P^2$ and Elliptic Functions
Differential Geometry
2019-12-02 v1 High Energy Physics - Theory
Symplectic Geometry
Abstract
We construct a toric generalised K\"ahler structure on and show that the various structures such as the complex structure, metric etc are expressed in terms of certain elliptic functions. We also compute the generalised K\"ahler potential in terms of integrals of elliptic functions.
Cite
@article{arxiv.1911.12708,
title = {Generalised K\"ahler Structure on $\mathbb{C}P^2$ and Elliptic Functions},
author = {Francesco Bonechi and Jian Qiu and Marco Tarlini},
journal= {arXiv preprint arXiv:1911.12708},
year = {2019}
}
Comments
32 pages, 2 figures