Preprints

12. Marked length spectrum rigidity for Anosov magnetic surfaces (with V. Assenza, J. de Simoi, and J. Marshall Reber)
    Submitted for publication.
    [Journal]-[arXiv]-[MathSciNet]
13. Nijenhuis geometry of parallel tensors (with A. Derdzinski and P. Piccione)
    Submitted for publication.
    [Journal]-[arXiv]-[MathSciNet]
14. Compact plane waves with parallel Weyl curvature
    Submitted for publication.
    [Journal]-[arXiv]-[MathSciNet]

Publications

9. Magnetic flatness and E. Hopf's theorem for magnetic systems (with V. Assenza and J. Marshall Reber)
   To appear in Communications in Mathematical Physics.
   [Journal]-[arXiv]-[MathSciNet]
10. Killing fields on compact pseudo-Kähler manifolds (with A. Derdzinski)
    Journal of Geometric Analysis, vol. 34 (2024), no. 5, art. 144.
    [Journal]-[arXiv]-[MathSciNet]
11. Codazzi tensor fields in reductive homogeneous spaces (with J. Marshall Reber)
    Results in Mathematics - Resultate der Mathematik, vol. 79 (2024), no. 4, art. 137.
    [Journal]-[arXiv]-[MathSciNet]
12. Compact locally homogeneous manifolds with parallel Weyl tensor (with A. Derdzinski)
    To appear in Advances in Geometry.
    [Journal]-[arXiv]-[MathSciNet]
13. The metric structure of compact rank-one ECS manifolds (with A. Derdzinski)
    Annals of Global Analysis and Geometry, vol. 64 (2023), no. 4, art. 24.
    [Journal]-[arXiv]-[MathSciNet]
14. Rank-one ECS manifolds of dilational type (with A. Derdzinski)
    Portugaliae Mathematica, vol. 81 (2024), no. 1-2, pp. 69-96.
    [Journal]-[arXiv]-[MathSciNet].
15. Conformal flatness of compact three-dimensional Cotton-parallel manifolds
    Proceedings of the American Mathematical Society, vol. 152 (2024), no. 2, pp. 797-800.
    [Journal]-[arXiv]-[MathSciNet]
16. The topology of compact rank-one ECS manifolds (with A. Derdzinski)
    Proceedings of the Edinburgh Mathematical Society, vol. 66 (2023), no. 3, pp. 789-809.
    [Journal]-[arXiv]-[MathSciNet].
17. New examples of compact Weyl-parallel manifolds (with A. Derdzinski)
    Monatshefte für Mathematik, vol. 203 (2024), no. 4, pp. 859-871.
    [Journal]-[arXiv]-[MathSciNet]

Books

1. Introduction to Lorentz Geometry: Curves and Surfaces (with A. Lymberopoulos), Chapman and Hall/CRC Press, Boca Raton, FL, 2021. ix+340 pp. Book cover displayed on the left.
2. Introdução à Geometria Lorentziana: Curvas e Superfícies (with A. Lymberopoulos), Brazilian Mathematical Society, Universitary Texts Collection, vol. 21, Rio de Janeiro, RJ, 2018. 546 pp.
   In Portuguese. We have a support page for the book.

Scientific dissemination and other texts

1. Corrections of minor misstatements in several papers on ECS manifolds (with A. Derdzinski), e-print arXiv:2404.09766 (not intended for publication).
2. Mergulhos Clássicos de Variedades Grassmannianas: uma visão geral, Revista Matemática Universitária, vol. 1 (2021), pp. 1-14. (In Portuguese.)
3. Topics in Lorentz Geometry, e-print arXiv:1908.01710, 2019.
4. Usando Geometria Diferencial para classificar trajetórias de fótons na Relatividade Especial, Acta Legalicus (ICMC-USP), no. 14 (2018), 14 pp. (In Portuguese.)

Some slides/notes for talks, etc.

• Codazzi tensors in homogeneous spaces (GSTGC 2024).
• Killing vector fields on compact pseudo-Kähler $\partial\bar{\partial}$ manifolds are holomorphic. (Special Holonomy and Geometric Structures on Complex Manifolds, 2024).
• Compact locally homogeneous manifolds with parallel Weyl curvature (Symmetry and Geometry in South Florida, 2024).
• The topology of compact Lorentzian manifolds with parallel Weyl curvature (XI International Meeting on Lorentzian Geometry).
• On compact Cotton-parallel three-manifolds (AMS Special Session on Metric Geometry and Topology II, JMM 2024).
• An overview of completeness in Lorentzian geometry (Oklahoma State University MGSS seminar, 2023).
• Compactifying rank-one Weyl-parallel manifolds (GTA Philadelphia 2023).
• On compact rank-one ECS manifolds (2023 Midwest Geometry Conference).
• Magnetic cotangent bundles (2022 Midwest Dynamical Systems Early Career Conference).
• On ridigity of $0$-isotropic submanifolds of Lorentzian space forms (X International Meeting on Lorentzian Geometry).
• Contrasts between Riemannian and Lorentzian Geometry (First year anniversary of the undergraduate Mathematics program at Federal Institute of Ceará, 2020). In Portuguese.