微分形式原函数的界与余填充不等式
微分几何
2007-05-23 v1
摘要
我们证明，在黎曼流形上，若 Stokes 定理所蕴含的必要的加权等周不等式成立，则一个光滑微分形式具有一个满足给定（函数）上界的原函数。我们应用此结论证明了 Gromov 所预言的余填充函数与填充面积之间的一个比较关系。
引用
@article{arxiv.math/0501089,
title = {Bounds on primitives of differential forms and cofilling inequalities},
author = {Jean-Claude Sikorav},
journal= {arXiv preprint arXiv:math/0501089},
year = {2007}
}
备注
The new features of the main result are its sharpness and the fact that the manifold is not assumed have bounded geometry, nor even to be complete. This paper corresponds to a part of a talk given in January 2004 in Haifa, at a workshop in memory of Robert Brooks. The other part, which is the "translation" in the framework of geometric group theory, will soon be deposited on arxiv