Contact geometry

Details Contact geometry Contact geometry

2003-07-17

arxiv.org/abs/math/0307242v2

Handbook of Differential Geometry vol. 2 (F.J.E. Dillen and L.C.A. Verstraelen, eds.), North-Holland, Amsterdam (2006), pp. 31

Mathematics

Symplectic Geometry

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

Scientific paper

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.

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