research

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Here you can find my research papers.

published papers

  1. JGA
    Local structure of gradient almost Ricci solitons with harmonic Weyl tensor
    Valter Borges Sampaio Junior, Matheus Horácio and João Paulo dos Santos
    The Journal of Geometric Analysis 36, article 256 (2026).
    JournalarXiv:2510.13057PDF (arXiv)

preprints

  1. arXiv
    Rigidity of shrinking Ricci solitons with low-dimensional focal sets
    Matheus Horácio
    arXiv preprint (2026).
    arXiv:2611.02740PDF
  2. arXiv
    Rigidity of Kähler-Ricci Solitons with Constant Scalar Curvature
    Matheus Horácio, Wenqi Li, Jianyu Ou, Guoqiang Wu and Detang Zhou
    arXiv preprint (2026).
    arXiv:2610.11935PDF
  3. arXiv
    On Ricci solitons whose level hypersurfaces have parallel second fundamental form
    Matheus Horácio
    arXiv preprint (2026).
    arXiv:2610.11209PDF
  4. arXiv
    Rigidity of nonsteady gradient Kähler-Ricci solitons with constant scalar curvature
    Matheus Horácio
    arXiv preprint (2026).
    arXiv:2609.29359PDF
  5. arXiv
    Multiply warped products with harmonic Weyl tensor and zero radial Weyl curvature
    Matheus Horácio
    arXiv preprint (2026).
    arXiv:2609.09759PDF
  6. arXiv
    The Ricci tensor of a gradient Ricci soliton with harmonic Weyl tensor
    Valter Borges Sampaio Junior, Matheus Horácio and João Paulo dos Santos
    arXiv preprint (2025).
    arXiv:2510.11939PDF