The generalized Poho{z}aev-Schoen identity and some geometric applications
classification
🧮 math.DG
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generalizedidentitymanifoldsobtainsomeaev-schoenalexandrovapplications
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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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