5 papers
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…
DHYM connections on higher rank holomorphic vector bundles over
Eder M. Correa
We construct the first explicit non-trivial example of deformed Hermitian Yang-Mills (dHYM) connection on a higher rank slope-unstable holomorphic vector bundle over a Fano threefo…
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…