5 papers · 1 filter
Prescribed mean curvature problems on homogeneous vector bundles
Eder M. Correa
In this paper, we investigate the existence of weak singular Hermite-Einstein structures on homogeneous holomorphic vector bundles over rational homogeneous varieties. Using Cartan…
Collapsing Flat -Bundles to Spherical 3-Manifolds
Eder M. Correa
We present a geometric mechanism for the emergence of spherical -manifolds from the superspace of Riemannian metrics associated with flat -bundles over closed orie…
Weitzenböck Remainder Spectrum on Rational Homogeneous Varieties
Eder M. Correa, Lucas Almeida, Samuel Wainer
In this paper, we precisely describe the spectrum of closed invariant -forms viewed as an operator acting on complex spinor bundles over rational homogeneous varieties. Usin…
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…
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 …