The generalized Pohozaev-Schoen identity and some geometric applications

被引:0
作者
Barbosa, Ezequiel [1 ]
Freitas, Allan [2 ]
de Lima, Levi Lopes [3 ]
机构
[1] Univ Fed Minas Gerais, Inst Ciencias Exatas, BR-30161970 Belo Horizonte, MG, Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58059900 Joao Pessoa, Paraiba, Brazil
[3] Univ Fed Ceara, Dept Matemat, R Humberto Monte S-N, BR-60455760 Fortaleza, Ceara, Brazil
关键词
SCALAR CURVATURE; MANIFOLDS; METRICS; RICCI;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we show how a generalized Pohozaev-Schoen identity due to Gover and Orsted [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.
引用
收藏
页码:223 / 242
页数:20
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