77 citations · 364 across the 84 of their papers we have counts for
11 papers · 1 filter
Projectively induced Kähler--Einstein surfaces
Andrea Loi, Mirel Caibăr
We classify compact Kähler--Einstein surfaces whose metric is induced by a holomorphic isometric immersion into a finite-dimensional complex projective space. No symmetry assumptio…
Monodromy of Walrasian Equilibrium Prices: A Fixed-Preference Endowment-Redistribution Construction
Andrea Loi, Stefano Matta
Suppose an economy moves continuously along a closed path of fundamentals and returns exactly to its initial state. A regular Walrasian equilibrium price followed continuously alon…
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…
Complex Hyperbolic Immersions of Cheng--Yau Metrics on Thullen Domains
Mirel Caibãr, Mirel Caibăr, Andrea Loi
We classify the homotheties of the complete Cheng--Yau Kähler--Einstein metrics on the two-dimensional Thullen domains , , that admit Kähler immersions into $\mathbb{CH}…
On Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative Group
Marco Damele, Andrea Loi
We prove that a simply connected simple Lie skew brace with nilpotent multiplicative Lie group must be one-dimensional and abelian. Equivalently, if is a simply c…
Sorting and Global Uniqueness in Two-Good HARA Economies with Many Patience Types
Andrea Loi, Stefano Matta
We study global uniqueness of competitive equilibrium in two-good pure-exchange economies with heterogeneous impatience types and a common HARA Bernoulli utility. The paper connect…
Curvature, Minimality and Uniqueness of Equilibrium
Andrea Loi, Stefano Matta
For a smooth pure exchange economy with fixed aggregate resources, we study two geometric conditions on the equilibrium manifold endowed with the metric induced from its Euc…
Solvability and Rigidity for Topological Skew Braces
Marco Damele, Andrea Loi
We study compact and locally compact topological analogues of the Byott--Vendramin solvability problem for finite skew braces, asking whether solvability of the additive group forc…
Topological and differentiable aspects of Clifford semigroups
Stefano Bonzio, Andrea Loi, Giuseppe Zecchini
This paper investigates the interplay between algebraic structure, topology, and differentiability in Clifford semigroups. The study is developed along three main themes. First, in…
On simple compact Lie skew braces
Marco Damele, Andrea Loi
We study simplicity of Lie skew braces from both global and infinitesimal perspectives. After reviewing the correspondence between connected Lie skew braces, simply transitive affi…
On the Bergman metric of symmetric spaces
Andrea Loi, Matteo Palmieri
We study bounded domains whose Bergman metric is locally symmetric, i.e. its Riemannian curvature tensor is parallel with respect to the Levi-Civita connecti…