Relative L^p-cohomology and application to Heintze groups
Resumen:
We introduce the notion ofrelativeLp-cohomologyas a quasi-isometry invariantdefined for a Gromov-hyperbolic space and a point on its boundary at infinity and reproduce somebasic properties ofLp-cohomology in this context. In the case of degree1we show a relation betweenthe relative and the classicalLp-cohomology. As an application, we explicitly construct non-zerorelativeLp-cohomology classes for a purely real Heintze group of the formRn−1⋊αR, which gives away to prove that the eigenvalues ofα, up to a scalar multiple, are invariant under quasi-isometries.
| 2024 | |
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HEINTZE GROUPS QUASI-ISOMETRY INVARIANT L^P-COHOMOLGY DELTA-HYPERBOLICITY |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/48520 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
