Ricardo A. E. Mendes - Publications

• 20. (with R. G. Bettiol, M. Kummer) "Two results on the Convex Algebraic Geometry of sets with continuous symmetries",
  submitted for publication.
  [https://arxiv.org/abs/2408.03231]
• 19. (with S. Lin, M. Radeschi) "A Weyl's Law for singular Riemannian foliations, with applications to Invariant Theory",
  submitted for publication.
  [https://arxiv.org/abs/2312.06533]
• 18. "A geometric take on Kostant's Convexity Theorem",
  to appear in Transformation Groups.
  [https://arxiv.org/abs/2202.12966]
• 17. (with R. G. Bettiol, M. Kummer) "Geography of pinched four-manifolds",
  to appear in Communications in Analysis and Geometry.
  [https://arxiv.org/abs/2106.02138]
• 16. (with M. Radeschi) "Maximality of Laplacian algebras, with applications to invariant theory",
  Ann. Mat. Pura Appl. (4) 202 (2023), no. 2, 1011-1031.
  [https://arxiv.org/abs/2012.07914]
• 15. "Lifting isometries of orbit spaces",
  Bull. Lond. Math. Soc. 53 (2021), no. 6, 1621-1626.
  [https://arxiv.org/abs/2004.00097]
• 14. (with M. Radeschi) "Laplacian algebras, manifold submetries and the Inverse Invariant Theory Problem",
  Geom. Funct. Anal. 30 (2020), no. 2, 536–573.
  [https://arxiv.org/abs/1908.05796]
• 13. (with R. G. Bettiol, M. Kummer) "Convex Algebraic Geometry of Curvature Operators",
  SIAM J. Appl. Algebra Geom. 5 (2021), no. 2, 200–228.
  [https://arxiv.org/abs/1908.03713]
• 12. (with C. Gorodski, C. Lange, A. Lytchak) "A diameter gap for quotients of the unit sphere",
  J. Eur. Math. Soc. (JEMS), 25(9):3767--3793, 2023
  [https://arxiv.org/abs/1903.12619]
• 11. (with C. Gorodski and M. Radeschi) "Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces",
  Calc. Var. Partial Differential Equations 58 (2019), no. 4, Art. 118, 25 pp.
  [https://arxiv.org/abs/1803.08735]
• 10. (with M. Radeschi) "Virtual immersions, and a characterization of symmetric spaces",
  Ann. Global Anal. Geom. 55 (2019), no. 1, 43-53.
  [https://arxiv.org/abs/1711.11435]
• 09. (with R. G. Bettiol) "Sectional curvature and Weitzenboeck formulae",
  Indiana Univ. Math. J., 71(3): 1209-1242, 2022.
  [https://arxiv.org/abs/1708.09033]
• 08. (with M. Radeschi) "Virtual immersions and minimal hypersurfaces in compact symmetric spaces",
  Calc. Var. Partial Differential Equations 59 (2020), no. 6, Paper No. 192, 18 pp.
  [https://arxiv.org/abs/1708.05881]
• 07. (with M. Radeschi) "Singular Riemannian foliations and their quadratic basic polynomials",
  Transform. Groups 25 (2020), no. 1, 251–277.
  [https://arxiv.org/abs/1611.02067]
• 06. (with R. G. Bettiol) "Strongly non-negative curvature",
  Math. Ann. 368 (2017), no. 3-4, 971-986.
  [http://arxiv.org/abs/1511.07899]
• 05. (with M. Radeschi) "A Slice Theorem for singular Riemannian foliations, with applications",
  Trans. Amer. Math. Soc. 371 (2019), no. 7, 4931-4949
  [http://arxiv.org/abs/1511.06174]
• 04. (with R. G. Bettiol) "Flag manifolds with strongly positive curvature",
  Math. Z. 280 (2015), no. 3-4, 1031-1046.
  [http://arxiv.org/abs/1412.0039]
• 03. (with R. G. Bettiol) "Strongly positive curvature",
  Ann. Global Anal. Geom. 53 (2018), no. 3, 287–309.
  [http://arxiv.org/abs/1403.2117]
• 02. "Extending tensors on polar manifolds",
  Math. Ann. 365 (2016), no. 3-4, 1409-1424.
  [http://arxiv.org/abs/1308.2412]
• 01. "Equivariant tensors on polar manifolds", PhD dissertation (2011).
  [http://repository.upenn.edu/edissertations/312/]