欧几里德空间中广义Yamabe孤子的分类

Shunya Fujii, S. Maeta
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引用次数: 7

摘要

本文研究了广义Yamabe孤子,它包括Yamabe孤子、几乎Yamabe孤子、h-几乎Yamabe孤子、梯度k-Yamabe孤子和保形梯度孤子等概念。对由位置向量场引起的欧氏空间超曲面上的广义Yamabe孤子进行了完全分类。
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Classification of generalized Yamabe solitons in Euclidean spaces
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.
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