RT Book, Section
T1 Hodge theory for Riemannian solenoids.
A1 Muñoz, Vicente
A1 Pérez Marco, Ricardo
A2 Rassias, Themistocles
A2 Brzdek, Janusz
AB A measured solenoid is a compact laminated space endowed with a transversal measure. The De Rham L 2-cohomology of the solenoid is defined by using differential forms which are smooth in the leafwise directions and L 2 in the transversal direction. We develop the theory of harmonic forms for Riemannian measured solenoids, and prove that this computes the De Rham L 2-cohomology of the solenoid.This implies in particular a Poincaré duality result.
PB Springer
SN 978-1-4614-0054-7
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/45446
UL https://hdl.handle.net/20.500.14352/45446
LA eng
NO Dedicated to the Memory of the 100th Anniversary of S. M. Ulam
NO MEC
DS Docta Complutense
RD 12 abr 2025