The generalized Poho{z}aev-Schoen identity and some geometric applications
Differential Geometry
2016-07-12 v1
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.
Keywords
Cite
@article{arxiv.1607.03073,
title = {The generalized Poho{z}aev-Schoen identity and some geometric applications},
author = {Ezequiel Barbosa and Levi Lopes de Lima and Allan Freitas},
journal= {arXiv preprint arXiv:1607.03073},
year = {2016}
}