论文标题
商的刚性结果几乎是yamabe soliton
Rigidity results for quotient almost Yamabe solitons
论文作者
论文摘要
在本文中，我们调查了完全非线性Yamabe流的某些解决方案的结构，我们称之为商几乎是Yamabe Solitons，因为它们自然而然地延伸了那些称为商Yamabe Solitons的人。然后，我们提出足够的条件，即几乎是yamabe soliton的紧凑型商，使其具有欧几里得球的琐碎或等距。我们还表征了非碰撞商梯度几乎yamabe soliton，可满足其RICCI张量和潜在功能的某些条件。
In this paper we investigate the structure of certain solutions of the fully nonlinear Yamabe flow, which we call quotient almost Yamabe solitons because they extend quite naturally those called quotient Yamabe solitons. We then present sufficient conditions for a compact quotient almost Yamabe soliton to be either trivial or isometric with an Euclidean sphere. We also characterize noncompact quotient gradient almost Yamabe solitons satisfying certain conditions on both its Ricci tensor and potential function.
