5 papers
On the atomic decomposition of complete intersection in flag varieties
Boris Alexeev, Leonardo F. Cavenaghi, Giovane Galindo +3
We develop a root-theoretic localization formalism for genus-zero Gromov--Witten invariants of flag varieties and of smooth zero loci of globally generated homogeneous vector bundl…
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…
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…
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 …
The curvature of convex sum of metrics and applications
Leonardo F. Cavenaghi, Giovane Galindo, Llohann D. Sperança
In this note, we derive explicit formulae for the curvature of a convex sum of Riemannian metrics, \(g_t = (1-t)g_0 + t g_1\). We study whether such a deformation can increase the…