3 papers
math.DG2024
Some splitting and rigidity results for sub-static spaces
Giulio Colombo, Allan Freitas, Luciano Mari +1
In this paper we study the rigidity problem for sub-static systems with possibly non-empty boundary. First, we get local and global splitting theorems by assuming the existence of…
math.DG2020
The Pohozaev-Schoen Identity on Asymptotically Euclidean Manifolds: Conservation Identities and their applications
Allan Freitas, Rodrigo Ávalos
The aim of this paper is to present a version of the generalized Pohozaev-Schoen identity in the context of asymptotically euclidean manifolds. Since these kind of geometric identi…
math.DG2016
The generalized Poho{z}aev-Schoen identity and some geometric applications
Ezequiel Barbosa, Levi Lopes de Lima, Allan Freitas
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 -static manifolds and generaliz…