4 papers · 1 filter
Equigeodesic vectors for homogeneous Riemannian submersions
Neiton Pereira da Silva, Brian Grajales, Lino Grama
We study -equigeodesic vectors associated with homogeneous fibrations, namely vectors that are geodesic with respect to every homogeneous metric making the projection a Riemanni…
Geometry of Invariant Almost Semi Kähler Submanifolds of Flag Manifolds
Neiton Pereira da Silva
In this paper we discuss the geometry of homogeneous spaces witch are almost Hermitian submanifolds of flag manifolds. We prove that such spaces are necessarily minimal submanifold…
Invariant Einstein metrics on generalized flag manifolds of and
Luciana Aparecida Alves, Neiton Pereira da Silva
It is well known that the Einstein equation on a Riemannian flag manifold reduces to an algebraic system if is a -invariant metric. In this paper we obtain explici…
Equigeodesics on full, and a rank-three condition on flag manifolds
Lino Grama, Caio J. C. Negreiros, Neiton P. Silva
This paper provides a characterization and examples of homogeneous geodesics on full and flag manifolds. We discuss for generalized root systems the property of sum-z…