Comparison theorems on H-type sub-Riemannian manifolds
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2019
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916717994704896 |
|---|---|
| author | Baudoin, Fabrice Grong, Erlend Rizzi, Luca Vega-Molino, Sylvie |
| author_facet | Baudoin, Fabrice Grong, Erlend Rizzi, Luca Vega-Molino, Sylvie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_03532 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Comparison theorems on H-type sub-Riemannian manifolds Baudoin, Fabrice Grong, Erlend Rizzi, Luca Vega-Molino, Sylvie Differential Geometry 53C17 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. |
| title | Comparison theorems on H-type sub-Riemannian manifolds |
| topic | Differential Geometry 53C17 |
| url | https://arxiv.org/abs/1909.03532 |