Eder M. Correa

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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 $G$ …

math.DG2023

$t$ -Gauduchon Ricci-flat metrics on non-Kähler Calabi-Yau manifolds

Eder M. Correa

We construct new examples of $t$ -Gauduchon Ricci-flat metrics, for all $t < 1$ , on compact non-Kähler Calabi-Yau manifolds defined by certain principal torus bundles over rational ho…

Bundle type sub-Riemannian structures on holonomy bundles

t-Gauduchon Ricci-flat metrics on non-Kähler Calabi-Yau manifolds

$t$ -Gauduchon Ricci-flat metrics on non-Kähler Calabi-Yau manifolds