Contact structures and periodic fundamental groups

Details Contact structures and periodic fundamental groups Contact structures and periodic fundamental groups

1998-10-12

arxiv.org/abs/math/9810071v1

Mathematische Annalen 320 (2001), 685-708 (revised version)

Mathematics

Differential Geometry

16 pages

Scientific paper

By using cobordism theoretic arguments similar to those in the literature on
positive scalar curvature metrics we prove the existence of contact structures
on 5-dimensional spin manifolds whose fundamental group is a group of odd order
(not divisible by 9) and finite cohomological period.

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