4 papers · 1 filter
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 the…
Scalar curvatures of invariant almost Hermitian structures on flag manifolds with two and three isotropic summands
Lino Grama, Ailton R. Oliveira
In this paper we study invariant almost Hermitian geometry on generalized flag manifolds which the isotropy representation decompose into two or three irreducible components. We wi…
Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds
Lino Grama, Ailton R. Oliveira
In this paper we study invariant almost Hermitian geometry on generalized flag manifolds. We will focus on providing examples of Kähler like scalar curvature metric, that is, almos…
Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers
Lino Grama, Caio J. C. Negreiros, Ailton R. Oliveira
In the first part of this paper we study geometric formality for generalized flag manifolds, including full flag manifolds of exceptional Lie groups. In the second part we deal wit…