Sobolev inequalities for differential forms and $L_{q,p}$-cohomology.

• Published in: J. Geom. Anal., vol. 16, num. 4, p. 597-631
• Publication date: 2006

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 $L^q(M)$.

Reference

• GR-TR-ARTICLE-2006-001
• doi:NA
• View record in Web of Science

• URL: http://www.mathjournals.org/jgan/2006-016-004/2006-016-004-004.html

Record created on 2007-12-17, modified on 2012-03-21