English

Contact geometry

Symplectic Geometry 2014-11-18 v2 Geometric Topology

Abstract

This is an introductory text on the more topological aspects of contact geometry, written for the Handbook of Differential Geometry vol. 2. After discussing (and proving) some of the fundamental results of contact topology (neighbourhood theorems, isotopy extension theorems, approximation theorems), I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem. The text ends with a guide to the literature.

Keywords

Cite

@article{arxiv.math/0307242,
  title  = {Contact geometry},
  author = {Hansjörg Geiges},
  journal= {arXiv preprint arXiv:math/0307242},
  year   = {2014}
}

Comments

86 pages, 19 figures; sign corrected in proof of Prop. 3.15