3 papers
math.DG2026
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…
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 th…
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-Ya…