Cohomologie Lᵖ et formes harmoniques
Lohoué, Noël
Original · EN
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 ℓ-forms, then there exists 1<p<2 such that for all p<r<p′ the Hodge - de Rham decomposition for Lʳ-forms holds (p′ denotes the conjugate of p).
English translation
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