3 papers
math.DG2025
Curvature positivity for Kähler and quasi-Kähler flag manifolds
Giovane Galindo, Ailton R. Oliveira
In this paper, we study the notions of Griffiths and dual-Nakano positivity for the curvature of the Chern connection on Kähler and quasi-Kähler flag manifolds, as well as for the…
math.DG2025
Chern-Ricci flow and t-Gauduchon Ricci-flat condition
Eder M. Correa, Giovane Galindo, Lino Grama
In this paper, we study the -Gauduchon Ricci-flat condition under the Chern-Ricci flow. In this setting, we provide examples of Chern-Ricci flow on compact non-Kähler Calabi-Yau…
math.DG2024
Bundle type sub-Riemannian structures on holonomy bundles
Eder M. Correa, Giovane Galindo, Lino Grama
In this paper, combining the Rashevsky-Chow-Sussmann (orbit) theorem with the Ambrose-Singer theorem, we introduce the notion of controllable principal connections on principal …