5 papers
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…
A note on Serrin's type problem on Riemannian manifolds
Allan Freitas, Alberto Roncoroni, Márcio Santos
In this paper, we deal with Serrin-type problems in Riemannian manifolds. First, we obtain a Heintze-Karcher inequality and a Soap Bubble result, with its respective rigidity, when…
Uniqueness of free-boundary minimal hypersurfaces in rotational domains
Ezequiel Barbosa, Allan Freitas, Rodrigo Melo +1
In this work, we investigate the existence of compact free-boundary minimal hypersurfaces immersed in several domains. Using an original integral identity for compact free-boundary…
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…
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…