论文标题
Yamabe唯一及其应用的总体结构
Structure of generalized Yamabe solitons and its applications
论文作者
论文摘要
我们考虑了梯度Yamabe Soliton，Cromporal梯度Soliton的最广泛概念。在本文中，我们在某些假设下阐明了完整的梯度保形孤子子的结构，并为梯度Yamabe Soliton提供了一些应用。这些结果增强了先前研究所获得的理解。此外，我们对Perelman的Yamabe Soliton版本给出了肯定的部分答案。
We consider the broadest concept of the gradient Yamabe soliton, the conformal gradient soliton. In this paper, we elucidate the structure of complete gradient conformal solitons under some assumption, and provide some applications to gradient Yamabe solitons. These results enhance the understanding gained from previous research. Furthermore, we give an affirmative partial answer to the Yamabe soliton version of Perelman's conjecture.
