7 citations · 9 across the 14 of their papers we have counts for
18 papers
The dHYM equation on crepant resolutions of Calabi-Yau cones
Eder M. Correa
In this paper, we study the deformed Hermitian-Yang-Mills (dHYM) equation on the non-compact Calabi-Yau manifold , where is a rational homogeneous…
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…
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…
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 …
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…
-Gauduchon Ricci-flat metrics on non-Kähler Calabi-Yau manifolds
Eder M. Correa
We construct new examples of -Gauduchon Ricci-flat metrics, for all , on compact non-Kähler Calabi-Yau manifolds defined by certain principal torus bundles over rational ho…
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…
Deformed Hermitian Yang-Mills equation on rational homogeneous varieties
Eder M. Correa
In this paper, we show that the deformed Hermitian Yang-Mills (dHYM) equation on a rational homogeneous variety, equipped with any invariant Kähler metric, always admits a solution…
Twisted Kähler-Einstein metrics on flag varieties
Eder M. Correa, Lino Grama
In this paper, we describe invariant twisted Kähler-Einstein (tKE) metrics on flag varieties. We also explore some applications of the ideas involved in the proof of our main resul…
Levi-Civita Ricci-flat metrics on non-Kähler Calabi-Yau manifolds
Eder M. Correa
In this paper, we provide new examples of Levi-Civita Ricci-flat Hermitian metrics on certain compact non-Kähler Calabi-Yau manifolds, including every compact Hermitian Weyl-Einste…
Kähler-Ricci flow on rational homogeneous varieties
Eder Correa
In this work, we study the Kähler-Ricci flow on rational homogeneous varieties exploring the interplay between projective algebraic geometry and representation theory which underli…
From complex contact structures to real almost contact 3-structures
Eder M. Correa
In this work, we prove that every complex contact structure gives rise to a distinguished type of almost contact metric 3-structure. As an application of our main result, we provid…
Principal elliptic bundles and compact homogeneous l.c.K. manifolds
Eder M. Correa
In this paper, we provide a systematic and constructive description of Vaisman structures on certain principal elliptic bundles over complex flag manifolds. From this description w…
Lax formalism for Gelfand-Tsetlin integrable systems
Eder M. Correa, Lino Grama
In the present work, we study Hamiltonian systems on (co)adjoint orbits and propose a Lax pair formalism for Gelfand-Tsetlin integrable systems defined on (co)adjoint orbits of the…
Hermitian non-Kähler structures on products of principal -bundles over complex flag manifolds and applications in Hermitian geometry with torsion
Eder M. Correa
In this paper we provide an explicit description of normal almost contact structures obtained from Cartan-Ehresmann connections (gauge fields) on principal -bundles over com…
Homogeneous contact manifolds and resolutions of Calabi-Yau cones
Eder M. Correa
In the present work we provide a constructive method to describe contact structures on compact homogeneous contact manifolds. The main feature of our approach is to describe the Ca…
Calabi-Yau metrics on canonical bundles of complex flag manifolds
Eder M. Correa, Lino Grama
In the present paper we provide a description of complete Calabi-Yau metrics on the canonical bundle of generalized complex flag manifolds. By means of Lie theory we give an explic…