广义Poho{z}aev-Schoen恒等式及其几何应用
The generalized Poho{z}aev-Schoen identity and some geometric applications
摘要：
本文给出了如何利用Gover和Orsted \cite{GO}的广义Pohozaev-Schoen恒等式得到$V$ -静态流形和广义孤子的刚性结果。对于Einstein流形中的某些超曲面，我们也得到了Alexandrov型结果。
英文摘要：
In this note we show how a generalized Pohozaev-Schoen identity due to Gover and Orsted \cite{GO} can be used to obtain some rigidity results for $V$-static manifolds and generalized solitons. We also obtain an Alexandrov type result for certain hypersurfaces in Einstein manifolds.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
