Tight Contact Structures on Lens Spaces

Details Tight Contact Structures on Lens Spaces Tight Contact Structures on Lens Spaces

1998-12-10

arxiv.org/abs/math/9812065v2

Mathematics

Differential Geometry

Scientific paper

In this paper we develop a method for studying tight contact structures on
lens spaces. We then derive uniqueness and non-existence statements for tight
contact structures with certain (half) Euler classes on lens spaces. We also
prove that any lens space admits only finitely many tight contact structures.

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