Research

In this page you may see how my research is going so far (papers, books, other texts, etc.).

Preprints

Check back for more later.

Publications

  1. Killing fields on compact pseudo-Kähler manifolds (with A. Derdzinski), 7 pages. To appear in Journal of Geometric Analysis.
    [Journal]-[arXiv]-[MathSciNet]
  2. Codazzi tensor fields in reductive homogeneous spaces (with J. Marshall Reber), 12 pages. To appear in Results in Mathematics - Resultate der Mathematik.
    [Journal]-[arXiv]-[MathSciNet]
  3. Compact locally homogeneous manifolds with parallel Weyl tensor (with A. Derdzinski), 15 pages. To appear in Advances in Geometry.
    [Journal]-[arXiv]-[MathSciNet]
  4. The metric structure of compact rank-one ECS manifolds (with A. Derdzinski), Annals of Global Analysis and Geometry, vol. 64 (2023), no. 4, 24.
    [Journal]-[arXiv]-[MathSciNet]
  5. Rank-one ECS manifolds of dilational type (with A. Derdzinski), 26 pages, Portugaliae Mathematica (published online: Oct. 24, 2023).
    [Journal]-[arXiv]-[MathSciNet].
  6. 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]
  7. 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].
  8. New examples of compact Weyl-parallel manifolds (with A. Derdzinski), 13 pages, Monatshefte für Mathematik (published online, Sep. 27, 2023).
    [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. Mergulhos Clássicos de Variedades Grassmannianas: uma visão geral, Revista Matemática Universitária, vol. 1 (2021), pp. 1-14. (In Portuguese.)
  2. Topics in Lorentz Geometry, e-print arXiv:1908.01710, 2019.
  3. 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.