Zobrazeno 1 - 10
of 399
pro vyhledávání: '"Loi, Andrea"'
Motivated by the duality theory between Hermitian symmetric spaces of noncompact and compact types, we introduce and examine the concept of K\"ahler duality between domains of $\mathbb C^n$.
Comment: 33 pages
Comment: 33 pages
Externí odkaz:
http://arxiv.org/abs/2409.13263
Autor:
Loi, Andrea, Matta, Stefano
This paper establishes a link between endowments, patience types, and the parameters of the HARA Bernoulli utility function that ensure equilibrium uniqueness in an economy with two goods and two impatience types with additive separable preferences.
Externí odkaz:
http://arxiv.org/abs/2308.09347
This paper examines the relationship between resource reallocation, uniqueness of equilibrium and efficiency in economics. We explore the implications of reallocation policies for stability, conflict, and decision-making by analysing the existence of
Externí odkaz:
http://arxiv.org/abs/2308.03706
Autor:
Loi, Andrea, Placini, Giovanni
We introduce a large class of canonical K\"ahler metrics, called in this paper well-behaved, extending metrics induced by complex space forms. We study K\"ahler--Ricci iterations of well-behaved metrics on compact and non-compact K\"ahler manifolds.
Externí odkaz:
http://arxiv.org/abs/2307.11500
The aim of this paper is to study pointed Gromov-Hausdorff Convergence of sequences of K\"ahler submanifolds of a fixed K\"ahler ambient space. Our result shows that lower bounds on the scalar curvature imply convergence to a smooth K\"ahler manifold
Externí odkaz:
http://arxiv.org/abs/2306.16113
Publikováno v:
Math. Z. 307, 60 (2024)
We study immersions of Sasakian manifolds into finite and infinite dimensional Sasakian space forms. After proving Calabi's rigidity results in the Sasakian setting, we characterise all homogeneous Sasakian manifolds which admit a (local) Sasakian im
Externí odkaz:
http://arxiv.org/abs/2305.05509
Autor:
Loi, Andrea, Placini, Giovanni
Publikováno v:
Forum Mathematicum 2024
We show that, for any given $q\geq 0$, any Sasakian structure on a closed manifold $M$ is approximated in the $C^{q}$-norm by structures induced by CR embeddings into weighted Sasakian spheres. In order to obtain this result, we also strengthen the a
Externí odkaz:
http://arxiv.org/abs/2210.00790
In this paper we propose a geometric approach to the selection of the equi- librium price. After a perturbation of the parameters, the new price is selected thorough the composition of two maps: the projection on the linearization of the equilibrium
Externí odkaz:
http://arxiv.org/abs/2208.10860
Autor:
Loi, Andrea, Mossa, Roberto
Publikováno v:
Mediterr. J. Math. 20 (2023), no. 4, Paper No. 230, 11
We study the K\"ahler-Einstein manifolds which admits a holomorphic isometry into either the generalized Burns-Simanca manifold $(\tilde {\mathbb C}^n, g_S)$ or the Eguchi-Hanson manifold $(\tilde {\mathbb C}^2, g_{EH})$. Moreover, we prove that $(\t
Externí odkaz:
http://arxiv.org/abs/2208.03208