论文标题
对产品歧管上旋转Yamabe方程的变分分析
A variational analysis of the spinorial Yamabe equation on product manifolds
论文作者
论文摘要
这项工作致力于分析自旋歧管上的Yamabe问题，以及对CMC浸入式的某些应用。尽管许多作者做出了努力，但在一般旋转歧管上的Yamabe指标的存在方面鲜为人知。在这种情况下，我们研究了有关侵入问题的现象和最近的多样性的动机，我们研究了有关产品歧管的特殊旋转Yamabe指标，该指标开发了一个起泡分析，该分析在当前环境中具有独立的兴趣。
This work is devoted to the analysis of the Yamabe problem on Spin manifolds and some applications to CMC immersions. Despite the efforts of many authors, very little is known on the existence of Yamabe metrics on general Spin manifolds. Motivated to bubbling phenomena for the Riemannian problem and recent multiplicity results in this setting, we investigate special spinorial Yamabe metrics on product manifolds developing a bubbling analysis which has independent interest in the present setting.
