Archivio Istituzionale della RicercaA 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.
Toric para-Kähler-Einstein manifolds immersed in para-Kähler space forms / Manno, Gianni; Salis, Filippo. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 218:(2025), pp. 1-16. [10.1016/j.geomphys.2025.105688]
Toric para-Kähler-Einstein manifolds immersed in para-Kähler space forms
gianni manno;filippo salis
2025
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 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.
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https://hdl.handle.net/11583/3004766