On the stability of harmonic maps under the homogeneous Ricci flow

IF 0.5 Q3 MATHEMATICS

Complex Manifolds Pub Date : 2017-01-19 DOI:10.1515/coma-2018-0007

Rafaela F. do Prado, L. Grama

引用次数: 0

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.

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齐次Ricci流下谐波映射的稳定性

摘要本文研究了齐次Ricci流下调和映射的稳定性和非稳定性。我们提供了在Ricci流下保持稳定性（非稳定性）的例子，以及Ricci流不保持调和映射的稳定性的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.