76 citations · 156 across the 28 of their papers we have counts for
30 papers
Radial Projectively Induced Canonical Kähler Metrics: Rigidity and Classification
Claudio Arezzo, Andrea Loi, Giovanni Placini +1
We study radial Kähler metrics on domains of , , admitting a Kähler immersion into a finite- or infinite-dimensional complex projective space. We classify th…
Minimal hypersurfaces in Kaehler scalar flat ALE spaces
C. Arezzo, A. Della Vedova, Samreena
In this paper we give a new general method to describe all Kaehler scalar flat metrics on -invariant domains of C^n in a way to be able to detect easily whether it can be com…
Gromov-Hausdorff limits and Holomorphic isometries
Claudio Arezzo, Chao Li, Andrea Loi
The aim of this paper is to study pointed Gromov-Hausdorff Convergence of sequences of Kähler submanifolds of a fixed Kähler ambient space. Our result shows that lower bounds on th…
Localization in the Discrete Non-Linear Schrödinger Equation and geometric properties of the microcanonical surface
Claudio Arezzo, Federico Balducci, Riccardo Piergallini +2
It is well known that, if the initial conditions have sufficiently high energy density, the dynamics of the classical Discrete Non-Linear Schrödinger Equation (DNLSE) on a lattice…
On the ADM mass of Kähler scalar flat ALE metrics
Claudio Arezzo, Karen Corrales
In this paper we study the behaviour of scalar flat Kähler ALE spaces and their ADM mass under blow ups. In particular we prove that by blowing up sufficiently many points at suffi…
Existence of CMC-foliations in asymptotically cuspidal manifolds
Claudio Arezzo, Karen Corrales
In this paper we prove existence and uniqueness of a CMC foliation in asymptotically cuspidal manifolds. Moreover, we study the isoperimetric problem in this case. Our proof does n…