https://neckpinch.com/authors/rafaela-f-do-prado/New arXiv papers by Rafaela F. do Prado, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1701.05396/arxiv:1701.05396Thu, 19 Jan 2017 00:00:00 GMTRafaela F. do Prado, Lino Grama — In this work we study properties of stability and non-stability of harmonic maps under the homogeneous Ricci flow. We provide examples where the stability (non-stability) is preserved under the Ricci flow and an example where the Ricci flow does not preserve the stability of an harmonic map.Ricci flowHomogeneous spacesStability & uniquenessHarmonic maps & DeTurck trick https://neckpinch.com/papers/1602.07660/arxiv:1602.07660Wed, 24 Feb 2016 00:00:00 GMTRafaela F. do Prado, Lino Grama — We study conjugate points along homogeneous geodesics in generalized flag manifolds. This is done by analyzing the second variation of the energy of such geodesics. We also give an example of how the homogeneous Ricci flow can evolve in such way to produce conjugate points in the complex projective space ℂ P²ⁿ⁺¹ = Sp(n+1)/(U(1)×Sp(n)).Ricci flowHomogeneous spaces