On the stability of harmonic maps under the homogeneous Ricci flow

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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Autores principales:	Prado Rafaela F. do, Grama Lino
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2018
Materias:	homogeneous ricci flow harmonic maps holomorphic-horizontal maps flag manifolds 53c43 53c44 22f30 14m15 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b6fcf73549654e2c9c01b812a1e7b652
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spelling	oai:doaj.org-article:b6fcf73549654e2c9c01b812a1e7b6522021-12-02T19:07:54ZOn the stability of harmonic maps under the homogeneous Ricci flow2300-744310.1515/coma-2018-0007https://doaj.org/article/b6fcf73549654e2c9c01b812a1e7b6522018-06-01T00:00:00Zhttps://doi.org/10.1515/coma-2018-0007https://doaj.org/toc/2300-7443In 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.Prado Rafaela F. doGrama LinoDe Gruyterarticlehomogeneous ricci flowharmonic mapsholomorphic-horizontal mapsflag manifolds53c4353c4422f3014m15MathematicsQA1-939ENComplex Manifolds, Vol 5, Iss 1, Pp 122-132 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	homogeneous ricci flow harmonic maps holomorphic-horizontal maps flag manifolds 53c43 53c44 22f30 14m15 Mathematics QA1-939
spellingShingle	homogeneous ricci flow harmonic maps holomorphic-horizontal maps flag manifolds 53c43 53c44 22f30 14m15 Mathematics QA1-939 Prado Rafaela F. do Grama Lino On the stability of harmonic maps under the homogeneous Ricci flow
description	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.
format	article
author	Prado Rafaela F. do Grama Lino
author_facet	Prado Rafaela F. do Grama Lino
author_sort	Prado Rafaela F. do
title	On the stability of harmonic maps under the homogeneous Ricci flow
title_short	On the stability of harmonic maps under the homogeneous Ricci flow
title_full	On the stability of harmonic maps under the homogeneous Ricci flow
title_fullStr	On the stability of harmonic maps under the homogeneous Ricci flow
title_full_unstemmed	On the stability of harmonic maps under the homogeneous Ricci flow
title_sort	on the stability of harmonic maps under the homogeneous ricci flow
publisher	De Gruyter
publishDate	2018
url	https://doaj.org/article/b6fcf73549654e2c9c01b812a1e7b652
work_keys_str_mv	AT pradorafaelafdo onthestabilityofharmonicmapsunderthehomogeneousricciflow AT gramalino onthestabilityofharmonicmapsunderthehomogeneousricciflow
_version_	1718377171712475136

On the stability of harmonic maps under the homogeneous Ricci flow

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