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On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow
Siberian Advances in Mathematics Pub Date : 2017-11-24 , DOI: 10.3103/s1055134417040010
N. A. Abiev

The paper is devoted to the study of the evolution of invariant Riemannian metrics on the special class of generalized Wallach spaces corresponding to the case of a1 = a2 = a3 = 1/4. We prove that the normalized Ricci flow evolves all generic invariant Riemannian metrics into metrics with positive Ricci curvature.

中文翻译:

归一化Ricci流影响下一类广义Wallach空间上不变黎曼度量的演化

纸张致力于不变黎曼度量上的特殊类对应的情况下,广义拉士空间的进化研究一个1 =一个2 =一个3 = 1/4。我们证明归一化的Ricci流将所有通用不变的Riemannian度量演化为具有正Ricci曲率的度量。
更新日期:2017-11-24
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