Elliptic Reeb orbit on some real projective three-spaces via ECH Brayan Ferreira Revista Matematica Iberoamericana, 2024 We prove the existence of an elliptic Reeb orbit for some contact forms on the real projective three space $\\mathbb{R} P^3$. The main ingredient of the proof is the existence of a distinguished pseudoholomorphic curve in the symplectization given by the $U$ map on ECH. Also, we check that the first value on the ECH spectrum coincides with the smallest action of null-homologous orbit sets for $1/4$-pinched Riemannian metrics and compute the ECH spectrum for the irrational Katok metric example.
Canonical frames in contact 3-manifolds and applications B Ferreira, M Miranda, A Vicente arXiv preprint arXiv:2603.30027 , 2026 2026
Gromov width of the disk cotangent bundle of spheres of revolution B Ferreira, VGB Ramos, A Vicente Advances in Mathematics 487, 110761 , 2026 2026 Citations: 14
Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension R Fernandes, B Ferreira arXiv preprint arXiv:2510.06496 , 2025 2025 Citations: 1
Systolic inequalities on the sphere from symplectic embeddings B Ferreira arXiv preprint arXiv:2506.07674 , 2025 2025
The number of periodic points of surface symplectic diffeomorphisms MS Atallah, M Batoréo, B Ferreira arXiv preprint arXiv:2409.14962 , 2024 2024 Citations: 2
Elliptic Reeb orbit on some real projective three-spaces via ECH B Ferreira Revista matemática iberoamericana 40 (5), 1833-1862 , 2024 2024 Citations: 3
Symplectic embeddings into disk cotangent bundles B Ferreira, VGB Ramos Journal of Fixed Point Theory and Applications 24 (3), 62 , 2022 2022 Citations: 18
MOST CITED SCHOLAR PUBLICATIONS
Symplectic embeddings into disk cotangent bundles B Ferreira, VGB Ramos Journal of Fixed Point Theory and Applications 24 (3), 62 , 2022 2022 Citations: 18
Gromov width of the disk cotangent bundle of spheres of revolution B Ferreira, VGB Ramos, A Vicente Advances in Mathematics 487, 110761 , 2026 2026 Citations: 14
Elliptic Reeb orbit on some real projective three-spaces via ECH B Ferreira Revista matemática iberoamericana 40 (5), 1833-1862 , 2024 2024 Citations: 3
The number of periodic points of surface symplectic diffeomorphisms MS Atallah, M Batoréo, B Ferreira arXiv preprint arXiv:2409.14962 , 2024 2024 Citations: 2
Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension R Fernandes, B Ferreira arXiv preprint arXiv:2510.06496 , 2025 2025 Citations: 1
Canonical frames in contact 3-manifolds and applications B Ferreira, M Miranda, A Vicente arXiv preprint arXiv:2603.30027 , 2026 2026
Systolic inequalities on the sphere from symplectic embeddings B Ferreira arXiv preprint arXiv:2506.07674 , 2025 2025