English

Perelman's proof of the Poincar\'e conjecture: a nonlinear PDE perspective

Differential Geometry 2007-05-23 v1 Analysis of PDEs

Abstract

We discuss some of the key ideas of Perelman's proof of Poincar\'e's conjecture via the Hamilton program of using the Ricci flow, from the perspective of the modern theory of nonlinear partial differential equations.

Keywords

Cite

@article{arxiv.math/0610903,
  title  = {Perelman's proof of the Poincar\'e conjecture: a nonlinear PDE perspective},
  author = {Terence Tao},
  journal= {arXiv preprint arXiv:math/0610903},
  year   = {2007}
}

Comments

42 pages, unpublished