English

Exotic structures and the limitations of certain analytic methods in geometry

Differential Geometry 2007-05-23 v3 Geometric Topology

Abstract

In this survey we review some results concerning negatively curved exotic strucutres (DIFF and PL) and its (unexpected) implications on the limitations of some analytic methods in geometry. This article is dedicated to the memory of Armand Borel.

Cite

@article{arxiv.math/0402173,
  title  = {Exotic structures and the limitations of certain analytic methods in geometry},
  author = {F. T. Farrell and P. Ontaneda},
  journal= {arXiv preprint arXiv:math/0402173},
  year   = {2007}
}