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Classification of generalized Yamabe solitons in Euclidean spaces
International Journal of Mathematics ( IF 0.6 ) Pub Date : 2021-02-19 , DOI: 10.1142/s0129167x21500221
Shunya Fujii 1 , Shun Maeta 1
Affiliation  

In this paper, we consider generalized Yamabe solitons which include many notions, such as Yamabe solitons, almost Yamabe solitons, h-almost Yamabe solitons, gradient k-Yamabe solitons and conformal gradient solitons. We completely classify the generalized Yamabe solitons on hypersurfaces in Euclidean spaces arisen from the position vector field.

中文翻译:

欧几里得空间中广义 Yamabe 孤子的分类

在本文中,我们考虑广义的 Yamabe 孤子,其中包含许多概念,如 Yamabe 孤子、几乎 Yamabe 孤子、H- 几乎 Yamabe 孤子,渐变ķ-Yamabe 孤子和保形梯度孤子。我们对由位置矢量场产生的欧几里得空间中的超曲面上的广义 Yamabe 孤子进行了完全分类。
更新日期:2021-02-19
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