The generalized Pohozaev-Schoen identity and some geometric applications

DOI10.4310/CAG.2020.v28.n2.a1zbMath1441.53035arXiv1607.03073MaRDI QIDQ2186094

Levi Lopes de Lima, Allan G. Freitas, Ezequiel R. Barbosa

Publication date: 9 June 2020

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03073

zbMATH Keywords

Einstein manifoldshypersurfacesgeneralized solitonsV-static manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Local submanifolds (53B25)

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Geometric inequalities for critical metrics of the volume functional ⋮ Rigidity of compact almost Ricci solitons and applications of Pohozaev-Schoen identity ⋮ Compact quasi‐Einstein manifolds with boundary ⋮ \(K\)-contact and \((k,\mu)\)-contact metric as a generalized \(\eta\)-Ricci soliton ⋮ Aspects of mean curvature flow solitons in warped products ⋮ Boundary topology and rigidity results for generalized \(( \lambda , n + m)\)-Einstein manifolds ⋮ The Pohozaev-Schoen identity on asymptotically Euclidean manifolds: conservation laws and their applications ⋮ Volume functional of compact 4-manifolds with a prescribed boundary metric ⋮ Isoperimetric inequality and Weitzenböck type formula for critical metrics of the volume ⋮ On static manifolds and related critical spaces with zero radial Weyl curvature ⋮ Certain triviality results for Ricci-Bourguignon almost solitons ⋮ On Bach almost solitons

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