Communications in Analysis and Geometry
Volume 28 (2020)
The generalized Pohozaev-Schoen identity and some geometric applications
Pages: 223 – 242
In this note we show how a generalized Pohozaev–Schoen identity due to Gover and Orsted 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.
Received 5 April 2017
Accepted 23 October 2017
Published 6 May 2020