Toric para-Kähler-Einstein manifolds immersed in para-Kähler space forms

A classical and long-staying problem addressed, among others, by Calabi and Chern, is that to find a complete list of mutually non-isometric Kähler-Einstein manifolds immersed in a finite-dimensional Kähler space form. We address the same problem in the para-Kähler context and, then, we find a list of mutually non-isometric toric para-Kähler manifolds analytically immersed in a finite-dimensional para-Kähler space form.