Lipschitz algebras and derivations II: exterior differentiation
| dc.creator | Weaver, Nik | |
| dc.date | 1998-07-17 | |
| dc.date.accessioned | 2026-07-07T05:25:26Z | |
| dc.date.available | 2026-07-07T05:25:26Z | |
| dc.description | Basic aspects of differential geometry can be extended to various non-classical settings: Lipschitz manifolds, rectifiable sets, sub-Riemannian manifolds, Banach manifolds, Weiner space, etc. Although the constructions differ, in each of these cases one can define a module of measurable 1-forms and a first-order exterior derivative. We give a general construction which applies to any metric space equipped with a sigma-finite measure and produces the desired result in all of the above cases. It also applies to an important class of Dirichlet spaces, where, however, the known first-order differential calculus in general differs from ours (although the two are related). | |
| dc.description | 42 pages | |
| dc.identifier | https://arxiv.org/abs/math/9807096 | |
| dc.identifier | http://arxiv.org/abs/math/9807096 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77176 | |
| dc.subject | Functional Analysis | |
| dc.subject | Differential Geometry | |
| dc.subject | 58A10 (primary); 28A75, 28A80, 31C25, 46E15, 46L57, 46M20, 46M25, 53C60, 54E35, 58A15, 58A40, 58B20, 58G32, 60J60, 60J65 (secondary) | |
| dc.title | Lipschitz algebras and derivations II: exterior differentiation | |
| dc.type | text |