Sobolev inequalities for differential forms andL q,p -cohomology
نویسندگان
چکیده
منابع مشابه
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 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 L(M) modulo the exact forms which are exterior differentials of forms in L(M).
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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 L(M) modulo the exact forms which are exterior differentials of forms in L(M).
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2006
ISSN: 1050-6926,1559-002X
DOI: 10.1007/bf02922133