Marco Radeschi

Research

Research interest

  • Foliations on Riemannian manifolds.

  • Isometric Lie group actions on Riemannian manifolds.

  • Manifolds with positive/non-negative curvature.

  • Closed geodesics/Immersed minimal surfaces in Riemannian manifolds.

published articles

  1. Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces (with R. Mendes and C. Gorodski), to appear in Calc. Var. PDEs (2019). [arXiv]

  2. Singular Riemannian foliations and their quadratic basic polynomials (with R. Mendes), to appear in Transf. Groups (2019). [arXiv]

  3. Virtual immersions, and a characterization of symmetric spaces (with R. Mendes), to appear in Ann. Glob. Anal. Geom. (AGAG) (2018). [arXiv]

  4. A slice theorem for singular Riemannian foliations, with applications (with R. Mendes), to appear in Trans. of the AMS (2018), DOI: https://doi.org/10.1090/tran/7502. [arXiv]

  5. A note on the Petersen-Wilhelm Conjecture (with D. Gonzalez-Alvaro), Proc. Amer. Math. Soc. 146 (2018), no. 10, 4447–4458. [arXiv]

  6. Metrics on spheres all of whose geodesics are closed (with B. Wilking), Invent. Math. 210 (2017), no. 3, 911–962. [arXiv]

  7. Closure of singular foliations: the proof of Molino’s Conjecture (with M. Alexandrino), Compos. Math. 153 (2017), no. 12, 2577-2590. [arXiv]

  8. Torus orbifolds, rational ellipticity and non-negative curvature (with M. Kerin, F. Galaz-Garcia and M. Wiemeler), Int. Math. Res. Not. 18 (2018), 5786–5822. [arXiv]

  9. Smoothness of isometric flows on orbit spaces and Molino’s conjecture (with M. Alexandrino), Transf. Groups 22 (2017), no. 1, 1–27. [arXiv]

  10. Algebraic nature of singular Riemannian foliations in spheres (with A. Lytchak), J. Reine Ang. Math. (Crelle) 744 (2018), 265–273. [arXiv]

  11. On homogeneous composed Clifford foliations (with C. Gorodski), Münster J. Math. 9 (2016), 35–50. [arXiv]

  12. Mean curvature flow of singular Riemannian foliations (with M. Alexandrino), J. of Geom. Anal. 26 (2016), no. 3, 2204–2220. [arXiv]

  13. Singular Riemannian foliations and applications to positive and nonnegative curvature (with F. Galaz-Garcia), J. Topol. 8 (2015), no. 3, 603–620. [arXiv]

  14. Differentiable classification of 4-manifolds with singular Riemannian foliations (with J. Ge), Math. Ann. 363 (2015), no. 1-2, 525–548. [arXiv]

  15. Clifford algebras and new singular Riemannian foliations in spheres, Geom. Funct. Anal. (GAFA) 24 (2014), no. 5, 1660–1682. [arXiv]

  16. Isometries between leaf spaces (with M. Alexandrino), Geom. Dedicata 174 (2015), no. 1, 193–201. [arXiv]

Preprints

  1. Low dimensional singular Riemannian foliations in spheres. [arXiv]

  2. Torus actions on rationally elliptic manifolds: rank and rigidity (with M. Kerin and F. Galaz-Garcia). [arXiv]

  3. Generalized immersions and minimal hypersurfaces in compact symmetric spaces (with R. Mendes). [arXiv]

  4. Odd dimensional orbifolds with all geodesics closed are covered by manifolds (with M. Amann and C. Lange). [arXiv]