论文标题
Yamabe solitons的一些特征
Some Characterizations of Quasi Yamabe solitons
论文作者
论文摘要
在本文中，我们证明了与Yamabe Soliton具有有限全球标准的潜在向量领域有关的一些结果。我们特别针对Yamabe Soliton的非阳性RICCI曲率上的潜在矢量场提出了一些标准。同样，已经制定了紧凑型Yamabe Soliton的必要条件。我们进一步表明，如果潜在的矢量场具有有限的，非紧密的Yamabe Yamabe Soliton中有限的全局标准，则标量曲率变为恒定，而Soliton则将其减少到Yamabe Soliton。
In this article, we have proved some results in connection with the potential vector field having finite global norm in quasi Yamabe soliton. We have derived some criteria in particular for the potential vector field on the non-positive Ricci curvature of the quasi Yamabe soliton. Also, a necessary condition for a compact quasi Yamabe soliton has been formulated. We further showed that if the potential vector field has a finite global norm in a complete non-trivial, non-compact quasi Yamabe soliton with finite volume, then the scalar curvature becomes constant and the soliton reduces to a Yamabe soliton.
