3 papers
math.DG2026
Projectively equivalent para-Kaehler and para-Kaehler-Einstein metrics with non-parallel Benenti tensors and their normal forms in dimension four
Gianni Manno, Filippo Salis
The study of projectively equivalent metrics, i.e., metrics sharing the same unparametrized geodesics, is a classical and well-established area of investigation. In the Kaehler con…
math.DG2025
Toric para-Kaehler-Einstein manifolds immersed in para-Kaehler space forms
Gianni Manno, Filippo Salis
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…
math.DG2025
Para-Kaehler immersions in para-Kaehler space forms
Gianni Manno, Filippo Salis
In this paper, we provide necessary and sufficient conditions for the existence of para-Kaehler immersions in para-Kaehler space forms. As a consequence, we prove that, in general,…