Zobrazeno 1 - 10
of 465
pro vyhledávání: '"Barbaro Giuseppe"'
Autor:
Barbaro Giuseppe, Lejmi Mehdi
Publikováno v:
Complex Manifolds, Vol 10, Iss 1, Pp 251-265 (2023)
We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee form is a Killing vector field. We use that observation to describe four-dimen
Externí odkaz:
https://doaj.org/article/6d12e43558b94f9582f7962e2f4daeb8
We prove that the pluriclosed flow preserves the Vaisman condition on compact complex surfaces if and only if the starting metric has constant scalar curvature.
Comment: 7 pages. Comments are welcome
Comment: 7 pages. Comments are welcome
Externí odkaz:
http://arxiv.org/abs/2409.19826
We present a complete classification of simply-connected pluriclosed manifolds with parallel Bismut torsion, extending previously known results in the literature. Consequently, we also establish a splitting theorem for compact manifolds that are both
Externí odkaz:
http://arxiv.org/abs/2406.07039
We generalize K\"ahler-Ricci solitons to the almost-K\"ahler setting as the zeros of Inoue's moment map \cite{MR4017922}, and show that their existence is an obstruction to the existence of first-Chern-Einstein almost-K\"ahler metrics on compact symp
Externí odkaz:
http://arxiv.org/abs/2402.03996
Autor:
Barbaro, Giuseppe
We compute the (1,1)-Aeppli cohomology of compact simply-connected Lie groups. From this, we deduce that the Bismut flat metrics on the compact Bismut flat manifolds with finite fundamental group are globally stable for the pluriclosed flow. This pre
Externí odkaz:
http://arxiv.org/abs/2307.10207
In this survey we discuss the problem of the existence of rational curves on complex surfaces, both in the K\"ahler and non-K\"ahler setup. We systematically go through the Enriques--Kodaira classification of complex surfaces to highlight the differe
Externí odkaz:
http://arxiv.org/abs/2209.04229
Autor:
Barbaro, Giuseppe, Lejmi, Mehdi
We study 4-dimensional second-Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis the Riemannian dual of the Lee form is a Killing vector field. We use that observation to describe 4-dimensional
Externí odkaz:
http://arxiv.org/abs/2205.03452
Autor:
Barbaro, Giuseppe
Publikováno v:
Transformation Groups (2022)
We compute the (1,1)-Aeppli cohomology of compact simply-connected simple Lie groups of rank two. In particular, we verify that they are of dimension one and generated by the classes of the Bismut flat metrics coming from the Killing forms. This yiel
Externí odkaz:
http://arxiv.org/abs/2202.13199
Autor:
Bombino, Giuseppe, Barbaro, Giuseppe, D'Agostino, Daniela, Denisi, Pietro, Foti, Giandomenico, Zimbone, Santo Marcello
Publikováno v:
In Geomorphology 1 August 2024 458
On the curvature of the Bismut connection: Bismut Yamabe problem and Calabi-Yau with torsion metrics
Autor:
Barbaro, Giuseppe
We study two natural problems concerning the scalar and the Ricci curvatures of the Bismut connection. Firstly, we study an analog of the Yamabe problem for Hermitian manifolds related to the Bismut scalar curvature, proving that, fixed a conformal H
Externí odkaz:
http://arxiv.org/abs/2109.06159