Brian Grajales

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math.DG2024

Riemannian Geometry of $G_{2}$ -type Real Flag Manifolds

Brian Grajales, Gabriel Rondón, Julieth Saavedra

In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of $g_{2}$ . We characterize the metrics that are invariant unde…

math.DG2023

Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Brian Grajales, Lino Grama

In this paper, we investigate equigeodesics on a compact homogeneous space $M = G / H .$ We introduce a formula for the identification of equigeodesic vectors only relying on the isotro…

Riemannian Geometry of G2​-type Real Flag Manifolds

Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands

Riemannian Geometry of $G_{2}$ -type Real Flag Manifolds