Toric para-Kaehler-Einstein manifolds immersed in para-Kaehler space forms
Differential Geometry
2025-12-23 v1
Abstract
A classical and long-staying problem addressed, among others, by Calabi and Chern, is that to find a complete list of mutually non-isometric Kaehler-Einstein manifolds immersed in a finite-dimensional Kaehler space form. We address the same problem in the para-Kaehler context and, then, we find a list of mutually non-isometric toric para-Kaehler manifolds analytically immersed in a finite-dimensional para-Kaehler space form
Cite
@article{arxiv.2510.19625,
title = {Toric para-Kaehler-Einstein manifolds immersed in para-Kaehler space forms},
author = {Gianni Manno and Filippo Salis},
journal= {arXiv preprint arXiv:2510.19625},
year = {2025}
}
Comments
to appear in the Journal of Geometry and Physics