English

Invariant contact structures on 7-dimensional nilmanifolds

Differential Geometry 2012-12-13 v2 Geometric Topology

Abstract

In this paper we give the list of all 7-dimensional nilpotent real Lie algebras that admit a contact structure. Based on this list, we describe all 7-dimensional nilmanifolds that admit an invariant contact structure.

Keywords

Cite

@article{arxiv.1212.0833,
  title  = {Invariant contact structures on 7-dimensional nilmanifolds},
  author = {Sergii Kutsak},
  journal= {arXiv preprint arXiv:1212.0833},
  year   = {2012}
}

Comments

13 pages, no figures, Version 2, minor corrections

R2 v1 2026-06-21T22:48:43.294Z