Cohomologie $L^{p}$ et formes harmoniques

Details Cohomologie $L^{p}$ et formes harmoniques Cohomologie $L^{p}$ et formes harmoniques

2010-06-03

arxiv.org/abs/1006.0666v1

Mathematics

Spectral Theory

9 pages

Scientific paper

We show that a if a Riemannian manifold admits a universal cover with bounded
geometry and if 0 does not belong to the spectrum or is an isolated point in
the spectrum of the Laplacian on $\ell$-forms, then there exists $1that for all $p$L^{r}$-forms holds ($p^{\prime}$ denotes the conjugate of $p$).

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