arXiv subjects

Ana P. C. Freitas

Publications and source records attributed to Ana P. C. Freitas.

2 recordsLinked to original sources

arXiv2026

Invariant almost Hermitian structures on the maximal real flag manifold of type $\mathcal{A}_3$

We study the Gray-Hervella classes of invariant almost Hermitian structures on the maximal real flag manifold of type $\mathcal{A}_3$. We first obtain an explicit parametrization of all invariant almost Hermitian structures and establish necessary and sufficient conditions for an invariant almost Hermitian structure to belong to each Gray-Hervella class. For each nonempty class, we give an explicit parametrization of the corresponding set of structures, describe it as a smooth manifold and determine its dimension.

math.DG↗

arXiv2017

Invariant almost complex structures on real flag manifolds

In this work we study the existence of invariant almost complex structures on real flag manifolds associated to split real forms of complex simple Lie algebras. We show that, contrary to the complex case where the invariant almost complex structures are well known, some real flag manifolds do not admit such structures. We check which invariant almost complex structures are integrable and prove that only some flag manifolds of the Lie algebra $ C_{l}$ admit complex structures.

math.DG↗