On the Sign of the Curvature of a Contact Metric Manifold

In this expository article, we discuss the author’s conjecture that an associated metric for a given contact form on a contact manifold of dimension ≥5 must have some positive curvature. In dimension 3, the standard contact structure on the 3-torus admits a flat associated metric...

Full description

Bibliographic Details
Main Author: David E. Blair
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/10/892