Relative L^p-cohomology and application to Heintze groups
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Publication:6198339
DOI10.54330/afm.142924OpenAlexW4392790135MaRDI QIDQ6198339
Publication date: 21 February 2024
Published in: Annales Fennici Mathematici (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.54330/afm.142924
Differential geometry of homogeneous manifolds (53C30) Hyperbolic groups and nonpositively curved groups (20F67) Other homology theories in algebraic topology (55N35)
Cites Work
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- Rigidity of fiber-preserving quasisymmetric maps
- A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology
- Contracting automorphisms and \(L^p\)-cohomology in degree one
- Vanishing of the first reduced cohomology with values in an \(L^p\)-representation
- Differential forms on Lipschitz manifolds
- Integration of differential forms of the classes W*(p,q)
- Dual spaces of spaces of differential forms
- De Rham isomorphism of the \(L_ p\)-cohomology of noncompact Riemannian manifolds
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\)
- Quasi-isometry classification of some manifolds of bounded geometry
- The \(\ell_p\)-cohomology and the conformal dimension of hyperbolic cones
- Lectures on analysis on metric spaces
- Quasi-isometric invariance of continuous group \(L^p\)-cohomology, and first applications to vanishings
- On homogeneous manifolds of negative curvature
- On the first \(L^p\)-cohomology of discrete groups.
- Orlicz spaces and the large scale geometry of Heintze groups
- On quasi-isometry invariants associated to a Heintze group
- \(L^p\)-cohomology and pincing
- Large scale geometry of negatively curved \(\mathbb{R}^n\rtimes\mathbb{R}\)
- Vanishing and non-vanishing for the first \(L^p\)-cohomology of groups.
- The first \(L^{p}\)-cohomology of some finitely generated groups and \(p\)-harmonic functions
- Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
- Cohomologie ℓp espaces de Besov
- On the quasi-isometric classification of locally compact groups
- Non-vanishing for group \(L^p\)-cohomology of solvable and semisimple Lie groups