English

Distortion of Mappings and $L_{q,p}$-Cohomology

Differential Geometry 2008-04-02 v1

Abstract

We study some relation between some geometrically defined classes of diffeomorphisms between manifolds and the Lq,pL_{q,p}-cohomology of these manifolds. Some applications to vanishing and non vanishing results in Lq,pL_{q,p}-cohomology are given.

Keywords

Cite

@article{arxiv.0804.0025,
  title  = {Distortion of Mappings and $L_{q,p}$-Cohomology},
  author = {Vladimir Gol'dshtein and Marc Troyanov},
  journal= {arXiv preprint arXiv:0804.0025},
  year   = {2008}
}

Comments

18 pages