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research article
Sobolev inequalities for differential forms and $L_{q,p}$-cohomology
We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold $(M,g)$ and the $L_{q,p}$-cohomology of that manifold. The $L_{q,p}$-cohomology of $(M,g)$ is defined to be the quotient of the space of closed differential forms in $L^p(M)$ modulo the exact forms which are exterior differentials of forms in $L^q(M)$.
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Name
J. Geom. Anal.2006.pdf
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openaccess
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289.75 KB
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Adobe PDF
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8a3072cd8cda3081072555844dcd6f0c