The generalized Poho{z}aev-Schoen identity and some geometric applications
arXiv:1607.03073
Abstract
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 -static manifolds and generalized solitons. We also obtain an Alexandrov type result for certain hypersurfaces in Einstein manifolds.