Sobolev inequalities for differential forms andL
q,p
-cohomology |
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| Authors: | Vladimir Gol’dshtein Marc Troyanov |
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| Institution: | (1) Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer Sheva, Israel;(2) Institut de Géométrie, algèbre et topologie (IGAT) Batiment BCH, école Polytechnique Féderale de Lausanne, 1015 Lausanne, Switzerland |
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| Abstract: | We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold (M, g) and the Lq,p-cohomology of that manifold.
The Lq,p-cohomology of (M,g) is defined to be the quotient of the space of closed differential forms in Lp(M) modulo the exact forms which are exterior differentials of forms in Lq (M). |
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| Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications 58J10 58A12 46E35 35J15 |
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