Zobrazeno 1 - 10
of 115
pro vyhledávání: '"Zuddas, Fabio"'
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, Zuddas, Fabio
Let $P_{\lambda\Sigma_n}$ be the Ehrhart polynomial associated to an intergal multiple $\lambda$ of the standard symplex $\Sigma_n \subset \mathbb{R}^n$. In this paper we prove that if $(M, L)$ is an $n$-dimensional polarized toric manifold with asso
Externí odkaz:
http://arxiv.org/abs/2206.13977
Publikováno v:
Osaka J. Math. 60 (3), 545-554 (july 2023)
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 soliton; 2. two different generalized scalar curvatures of g are constan
Externí odkaz:
http://arxiv.org/abs/2109.15229
Publikováno v:
Pacific J. Math. 316 (2022) 183-205
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 dimensional complex space forms. This result shows that the triviality of
Externí odkaz:
http://arxiv.org/abs/2105.10695
In this paper we address the problem of studying those complex manifolds $M$ equipped with extremal metrics $g$ induced by finite or infinite dimensional complex space forms. We prove that when $g$ is assumed to be radial and the ambient space is fin
Externí odkaz:
http://arxiv.org/abs/2006.02101
Publikováno v:
Abh. Math. Sem. Univ. Hamburg. 2020
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 $\Delta$-property, i.e. such that on a neighborhood of each of its points the $k$-th power of the \K Laplacia
Externí odkaz:
http://arxiv.org/abs/1912.08879
We show that the Ricci flat Calabi's metrics on holomorphic line bundles over compact Kaehler-Einstein manifolds are not projectively induced. As a byproduct we solve a conjecture addressed in [arXiv:1705.03908v2 [math.DG]] by proving that any multip
Externí odkaz:
http://arxiv.org/abs/1912.05223
Autor:
Alekseevsky, Dmitri, Zuddas, Fabio
F. Podest\`a and A. Spiro introduced a class of $G$-manifolds $M$ with a cohomogeneity one action of a compact semisimple Lie group $G$ which admit an invariant Kaehler structure $(g,J)$ (``standard $G$-manifolds") and studied invariant Kaehler and K
Externí odkaz:
http://arxiv.org/abs/1906.10633
Autor:
Musina, Roberta, Zuddas, Fabio
In this paper we adopt an alternative, analytical approach to Arnol'd problem \cite{A1} about the existence of closed and embedded $K$-magnetic geodesics in the round $2$-sphere $\mathbb S^2$, where $K: \mathbb S^2 \rightarrow \mathbb R$ is a smooth
Externí odkaz:
http://arxiv.org/abs/1811.04367
Autor:
Musina, Roberta, Zuddas, Fabio
Given a constant $k>1$ and a real valued function $K$ on the hyperbolic plane $\mathbb H^2$, we study the problem of finding, for any $\epsilon\approx 0$, a closed and embedded curve $u^\epsilon $ in $\mathbb H^2$ having geodesic curvature $k+\epsilo
Externí odkaz:
http://arxiv.org/abs/1803.00856