3 papers
math.DG2022
Geodesics on adjoint orbits of
Rafaela F. do Prado, Brian Grajales, Lino Grama
In this paper we study geodesics on adjoint orbits of equipped with -invariant metrics (maximal compact subgroup). Our main technique is translate this pr…
math.DG2020
Geodesic orbit spaces in real flag manifolds
Brian Grajales, Lino Grama, Caio J. C. Negreiros
We describe the invariant metrics on real flag manifolds and classify those with the following property: every geodesic is the orbit of a one-parameter subgroup. Such a metric is c…
math.DG2019
Invariant Einstein metrics on real flag manifolds with two or three isotropy summands
Brian Grajales, Lino Grama
We study the existence of invariant Einstein metrics on real flag manifolds associated to simple and non-compact split real forms of complex classical Lie algebras whose isotropy r…