8 citations · 15 across the 15 of their papers we have counts for
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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…
Lower dimensional -invariant Kähler-Einstein metrics via integrable structures
Filippo Salis
We focus on the classical open problem of the classification of Kähler-Einstein manifolds that can be Kähler immersed into a complex projective space endowed with the Fubini-Study…
On canonical radial Kaehler metrics
Andrea Loi, Filippo Salis, Fabio Zuddas
We prove that a radial Kaehler metric g is Kaehler-Einstein if and only if one of the following conditions is satisfied: 1. g is extremal and it is associated to a Kaehler-Ricci so…
Kaehler Ricci solitons induced by infinite dimensional complex space forms
Andrea Loi, Fabio Zuddas, Filippo Salis
We exhibit families of non trivial (i.e. not Kaehler-Einstein) radial Kaehler-Ricci solitons (KRS), both complete and not complete, which can be Kaehler immersed into infinite dime…
2-dimensional Kähler-Einstein metrics induced by finite dimensional complex projective spaces
Gianni Manno, Filippo Salis
We give a complete list of non-isometric bidimensional rotation invariant Kähler-Einstein submanifolds of a finite dimensional complex projective space endowed with the Fubini-Stud…
Extremal Kaehler metrics induced by finite or infinite dimensional complex space forms
Andrea Loi, Filippo Salis, Fabio Zuddas
In this paper we address the problem of studying those complex manifolds equipped with extremal metrics induced by finite or infinite dimensional complex space forms. We pr…
On the Cauchy-Riemann geometry of transversal curves in the 3-sphere
Emilio Musso, Lorenzo Nicolodi, Filippo Salis
Let be the unit sphere of with its standard Cauchy-Riemann (CR) structure. This paper investigates the CR geometry of curves in which are…
The Cauchy-Riemann strain functional for Legendrian curves in the 3-sphere
Emilio Musso, Filippo Salis
The lower-order cr-invariant variational problem for Legendrian curves in the 3-sphere is studied and its Euler-Lagrange equations are deduced. Closed critical curves are investiga…
A characterization of complex space forms via Laplace operators
Andrea Loi, Filippo Salis, Fabio Zuddas
Inspired by the work of Z. Lu and G. Tian \cite{lutian}, in this paper we address the problem of studying those \K\ manifolds satisfying the -property, i.e. such that on a neigh…
On the third coefficient of TYZ expansion for radial scalar flat metrics
Andrea Loi, Filippo Salis, Fabio Zuddas
We classify radial scalar flat metrics with constant third coeffcient of its TYZ expansion. As a byproduct of our analysis we provide a characterization of Simanca's scalar flat me…
Two conjectures on Ricci-flat Kaehler metrics
Andrea Loi, Filippo Salis, Fabio Zuddas
We propose two conjectures about Ricci-flat metrics: Conjecture 1: A Ricci-flat projectively induced metric is flat. Conjecture 2: A Ricci-flat metric on an -dimensional complex…
Projectively induced rotation invariant Kähler metrics
Filippo Salis
We classify Kähler-Einstein manifolds which admit a Kähler immersion into a finite dimensional complex projective space endowed with the Fubini-Study metric, whose codimention is…