Sobolev inequalities for differential forms and Lq,p-cohomology

被引：35
|
作者：
Gol'dshtein, Vladimir
Troyanov, Marc
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
[2] Ecole Polytech Fed Lausanne, IGAT, CH-1015 Lausanne, Switzerland
[3] IHES, Bures Sur Yvette, France
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2006年 / 16卷 / 04期
关键词：
Sobolev inequality; differential forms; L-q; L-p-cohomology;
D O I：
10.1007/BF02922133
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the relation between Sobolev inequalities for differential forms on a Riemannian manifold (M, g) and the L-q,L-p-cohomology of that manifold. The L-q,L-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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页码：597 / 631
页数：35
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