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arXiv · 1607.03073

The generalized Poho{z}aev-Schoen identity and some geometric applications

Ezequiel Barbosa·Levi Lopes de Lima·Allan Freitas
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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 $V$-static manifolds and generalized solitons. We also obtain an Alexandrov type result for certain hypersurfaces in Einstein manifolds.

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Ezequiel Barbosa, Levi Lopes de Lima, Allan Freitas. 2016-07-11. The generalized Poho{z}aev-Schoen identity and some geometric applications. https://arxiv.org/abs/1607.03073

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