https://neckpinch.com/authors/gabriel-rondon/New arXiv papers by Gabriel Rondón, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2401.02805/arxiv:2401.02805Fri, 05 Jan 2024 00:00:00 GMTBrian Grajales, Gabriel Rondón, Julieth Saavedra — In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of g₂. We characterize the metrics that are invariant under the action of a maximal compact subgroup of G₂. Our exploration encompasses the analysis of g.o. metrics and equigeodesics on the g₂-type flag manifolds. Additionally, we explore the Ricci flow for the case where the isotropy representation has no equivalent summands, employing techniques from the qualitative theory of dynamical systems.Ricci flowHomogeneous spaces