Research profile

Rafaela F. do Prado

Works on homogeneous spaces, harmonic maps & DeTurck trick and Ricci flow.

NP-RC-514235

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  1. Lino Grama

    2 joint workslatest 2017

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2017

math.DGv2arXiv:1701.05396

On the stability of harmonic maps under the homogeneous Ricci flow

Rafaela 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.

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2016

math.DGarXiv:1602.07660

Variational aspects of homogeneous geodesics on generalized flag manifolds and applications

Rafaela 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 .

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