5 papers
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…
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…