Comparison theorems on H-type sub-Riemannian manifolds
On H-type sub-Riemannian manifolds we establish sub-Hessian and sub-Laplacian comparison theorems which are uniform for a family of approximating Riemannian metrics converging to the sub-Riemannian one. We also prove a sharp sub-Riemannian Bonnet-Myers theorem that extends to this general setting results previously proved on contact and quaternionic contact manifolds.
Authors
- Luca Rizzi (ORCID: https://orcid.org/0000-0002-6497-6155)
- Erlend Grong (ORCID: https://orcid.org/0000-0002-0619-6089)
- Fabrice Baudoin (ORCID: https://orcid.org/0000-0001-5645-1060)
- Gianmarco Vega-Molino (ORCID: https://orcid.org/0000-0001-5531-4646)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- Aarhus University (DK)
- National Institute of Technology (NO)
- University of Bergen (NO)
- Université Grenoble Alpes (FR)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2025-05-05
- DOI
- https://doi.org/10.1007/s00526-025-02992-w
- Citations
- 3
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 11.18
Funders
- National Science Foundation
- European Commission
- Agence Nationale de la Recherche
- Norges Forskningsråd
- Fondation Mathématique Jacques Hadamard
- Division of Mathematical Sciences
- HORIZON EUROPE European Research Council