De Rham's theorem for Orlicz cohomology

Sequeira Manzino, Emiliano

Resumen:

We prove that the de Rham Lφ-cohomology of a Riemannian manifold M admiting a convenient triangulation X is isomorphic to the simplicial ℓφ-cohomology of X for any Young function φ. This result implies the quasi-isometry invariance of the first one.


Detalles Bibliográficos
2021
Orlicz cohomology
Orlicz space
Quasi-isometry invariant
Differential Geometry
Metric Geometry
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/39103
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)