On the stability of harmonic maps under the homogeneous Ricci flow-Reference-Cited by-同舟云学术

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On the stability of harmonic maps under the homogeneous Ricci flow

Published:2018-06-21 Issue:1 Volume:5 Page:122-132
ISSN:2300-7443
Container-title:Complex Manifolds
language:
Short-container-title:

Author:

Prado Rafaela F. do¹,Grama Lino²

Affiliation:

1. 1Instituto Federal de Brasília - Campus Gama, Brasília, Brazil

2. 2Department of Mathematics - IMECC, University of Campinas, Brazil

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/downloadpdf/journals/coma/5/1/article-p122.xml

Reference19 articles.

1. Harmonic mapping of Riemannian manifolds;Eells;Math,1964

2. Structure of homogeneous solitons and the conjecture of;Lafuente;Journal Differential Geometry,2014

3. Homogeneous Einstein metrics on certain spaces Stud Pure;Kimura;Math,1990

4. Foundations of differential geometry Publishers New York;Kobayashi,1969

5. Applications harmoniques variétés;Lichnerowicz;Symposia Mathematica,1970

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