Functional Equations in Mathematical Analysis, p.633-657
Details
- Autor(en) / Beteiligte
- Titel
- Hodge Theory for Riemannian Solenoids
- Ist Teil von
- Functional Equations in Mathematical Analysis, p.633-657
- Ort / Verlag
- New York, NY: Springer New York
- Link zum Volltext
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- A measured solenoid is a compact laminated space endowed with a transversal measure. The De Rham L2-cohomology of the solenoid is defined by using differential forms which are smooth in the leafwise directions and L2 in the transversal direction. We develop the theory of harmonic forms for Riemannian measured solenoids, and prove that this computes the De Rham L2-cohomology of the solenoid.This implies in particular a Poincaré duality result.
- Sprache
- Englisch
- Identifikatoren
- ISBN: 1461400546, 9781461400547ISSN: 1931-6828eISSN: 1931-6836DOI: 10.1007/978-1-4614-0055-4_39Titel-ID: cdi_springer_books_10_1007_978_1_4614_0055_4_39
- Format
- –
- Schlagworte
- Cohomology, Harmonic forms, Hodge theory, Solenoids