On the tightness of left‐invariant contact structures
Abstract
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than . We then make use of such factorization property to construct embeddings of left‐invariant contact structures into the standard contact structure on .
Fields of Study & Subjects
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 6
- Publication date
- 29 May 2026
- Language
- EN