Research

Published papers

1. Heat content asymptotics in sub-Riemannian manifolds - L. Rizzi, T. Rossi, Journal de Mathématiques Pures et Appliquées, 2021 - Link

2. Integrability of the sub-Riemannian mean curvature at degenerate characteristic points in the Heisenberg group - T. Rossi, Advances in Calculus of Variations, 2021 - Link

3. Almost-Riemannian manifolds do not satisfy the curvature-dimension condition - M. Magnabosco, T. Rossi, Calculus of Variations and PDEs, 2023 -  Link

4. First-order heat content asymptotics on RCD(K,N) spaces - E. Caputo, T. Rossi,  Nonlinear Analysis, 2023 - Link

5. Relative heat content asymptotics in sub-Riemannian manifolds - A. Agrachev, L. Rizzi, T. Rossi, Analysis & PDE, 2023 - Link

6. The Brunn-Minkowski inequality implies the CD condition in weighted Riemannian manifolds - M. Magnabosco, L. Portinale, T. Rossi, Nonlinear Analysis, 2024 - Link

7. The relative heat content for submanifolds in sub-Riemannian geometry - T. Rossi, Actes du séminaire Théorie Spectrale et Géométrie, 2024 (accepted)  - Link

8. The strong Brunn-Minkowski inequality and its equivalence with the CD condition - M. Magnabosco, L. Portinale, T. Rossi, Communications in Contemporary Mathematics, 2024 (accepted) - Link

Submitted papers

1. Failure of the curvature-dimension condition in sub-Finsler manifolds - M. Magnabosco, T. Rossi, 2023 - Link

2. Measure contraction property and curvature-dimension condition on sub-Finsler Heisenberg groups - S. Borza, M. Magnabosco, T. Rossi, K. Tashiro, 2024 - Link 

Ph.D. Thesis

1. Heat content asymptotics in sub-Riemannian geometry - T. Rossi, 2021 - Link