On Rumin's Complex and Adiabatic Limits
| dc.creator | Ge, Zhong | |
| dc.date | 1994-10-05 | |
| dc.date.accessioned | 2026-07-07T09:12:26Z | |
| dc.date.available | 2026-07-07T09:12:26Z | |
| dc.description | This paper shows that when the Riemannian metric on a contact manifold is blown up along the direction orthogonal to the contact distribution, the corresponding harmonic forms rescaled and normalized in the $L^2$-norms will converge to Rumin's harmonic forms. This proves a conjecture in Gromov `` Carnot-Caratheodory spaces seen from within '', IHES preprint, 1994. This result can also be reformulated in terms of spectral sequences, after Forman, Mazzeo-Melrose. A key ingredient in the proof is the fact that the curvatures become unbounded in a controlled way. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9410003 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9410003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152018 | |
| dc.subject | Differential Geometry | |
| dc.title | On Rumin's Complex and Adiabatic Limits | |
| dc.type | text |