论文标题
在欧几里得空间中广义山单孤子的分类
Classification of generalized Yamabe solitons in Euclidean spaces
论文作者
论文摘要
在本文中,我们考虑了广义的Yamabe孤子,其中包括许多概念,例如Yamabe Solitons,几乎是Yamabe Solitons,H-极Yamabe孤子,梯度K-Yamabe Solitons和保形梯度孤子。我们完全对欧几里得空间中的超丘面上的广义yamabe孤子分类。
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.