Publications

Check below for my works organized by order. If you have any questions about a specific publication, please send a message to allan.freitas@academico.ufpb.br.

Andrade, M., Freitas, A., and Marin, D., "Rigidity results for Serrin's overdetermined problems in Riemannian manifolds" Calculus of Variations and Partial Differential Equations 64, 119 (2025). https://doi.org/10.1007/s00526-025-02973-z(2025). Published Paper 

Freitas, A., and Gomes, J. N., "Compact gradient Einstein-type manifolds with boundary". Letters in Mathematical Physics 115, 46 (2025) Published Paper 

Araújo, M., Freitas, A.,  and Santos, M.,  "A Serrin's type Problem in weighted manifolds: Soap Bubble results and rigidity in generalized cones". Potential Analysis (2025). https://doi.org/10.1007/s11118-024-10188-8. Published Paper

Freitas, A., and Guimarães, F., "A congruence theorem for compact embedded hypersurfaces in $S_{+}^{n}$". Bulletin of the London Mathematical Society (2025). https://doi.org/10.1112/blms.70004 Published paper 

Freitas, A., Santos, M., and Sindeaux, "Gap results and existence of CMC free boundary surfaces in rotational domains". Nonlinear Analysis Theory Methods and Applications 251, 113681 (2024). Published Paper 

Freitas, A., Roncoroni, A. and Santos, M., "A Note on Serrin’s Type Problem on Riemannian Manifolds." Journal of Geometric Analysis 34, 200 (2024). Published paper 

Araújo, M., and Freitas, A.,  "Generalized Reilly's identity and its applications in V-static manifolds."  Journal of Mathematical Analysis and Applications 543, 128950 (2024). Published Paper  

Freitas, A., Lima, H., Santos, M.  and Sindeaux, J., "Nonexistence and rigidity of spacelike mean curvature flow solitons immersed in a GRW spacetime". Annals of Global Analysis and Geometry 63 (2023), 101714. Published Paper

Barbosa, E., Freitas, A., Melo, R.  and Vitório, F.,  "Uniqueness of free boundary minimal hypersurfaces in rotational domains." Journal of Mathematical Analysis and Applications 525 (2023), 127172. Published Paper  

Araújo, M., Freitas, A.,  and Santos, M.,  "About an integral inequality and rigidity of m-quasi-Einstein manifolds". Letters in Mathematical Physics 113:115 (2023) Published Paper 

Cruz Júnior, F., Freitas, A.  and Santos, M.,  De Lellis-Topping Inequalities on Weighted Manifolds with Boundary. Results in Mathematics 77, 16 (2022). Published Paper 

Avalos, R. and, Freitas, A., "The Pohozaev-Schoen Identity on Asymptotically Euclidean Manifolds: Conservation Identities and their applications". Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 38, 1703-1724 (2021). Published Paper 

Freitas, A., "New Gap Results on n-dimensional Static Manifolds". Mathematische Nachrichten 9, 1715-1723 (2021). Published Paper 

Freitas, A., Lima, H., Lima Júnior, E. A.  and Santos, M.,  "Submanifolds immersed in Riemannian spaces endowed with a Killing vector field: Nonexistence and rigidity".  Differential Geometry and its applications 75, 101714 (2021).  Published Paper 

Barbosa, E., Freitas, A. and Lima, L. L., "The generalized Pohozaev-Schoen identity and some geometric applications". Communications in Analysis and Geometry 28, 223-242 (2020) Published Paper 

Freitas, A, Santos, M. "Boundary topology and rigidity results for generalized $(\lambda, n + m)$-Einstein manifolds". Annali di Matematica Pura ed Aplicata 199, 2511–2520 (2020). Published Paper 

Freitas, A. and Santos, M., "Some almost-Schur type inequalities for k-Bakry-Emery Ricci tensor". Differential Geometry and its applications 66, 82 - 92, (2019). Published Paper 

Freitas, A, de Lima, H. F., Lima Júnior. E. and Santos, M., "Weakly trapped submanifolds in standard static spacetimes." Arkiv for Matematik 57, 317 - 332 (2019). Published Paper

Barbosa, E., Freitas, A. and Gonçalves, A. R., New gap results on the 4-dimensional sphere. Mathematische Nachrichten 290, no. 17-18, 2755-2758 (2017). Published Paper 

Freitas, A., Leandro, B., Ribeiro Jr, E., and Sabo, G., "Geometric inequalities for electrostatic systems with boundary" (2025). Arxiv 

Araújo, M., Freitas, A., Santos, M., and Sindeaux, J., "Serrin's type Problems in convex cones in Riemannian manifolds" (2025). ArXiv 

Colombo, G., Freitas, A., Mari, L., and Rigoli, M., "Some splitting and rigidity results for sub-static spaces" (2024). ArXiv 

Batista, M., Freitas, A., and Santos, M., "Perelman singular manifolds" (2024). ArXiv