1 citations · 1 across the 5 of their papers we have counts for
5 papers
Sophus Lie's problem on two-dimensional metrics with projective symmetries: completing the local classification
Gianni Manno, Vladimir S. Matveev, Filippo Salis
We complete the local classification, up to isometry, of -dimensional pseudo-Riemannian metrics (i.e. both Riemannian and Lorentzian), admitting a projective symmetry algebra of…
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…
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…
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,…
-invariant Kaehler-Einstein manifolds immersed in complex projective spaces
Gianni Manno, Filippo Salis
We give a complete list, for , of non-isometric -invariant Kaehler-Einstein manifolds immersed in a finite dimensional complex projective space endowed with…