English

Kenmotsu LIe groups

Differential Geometry 2024-07-24 v1

Abstract

Kenmotsu manifolds constitute an important subclass of the class of contact Riemannian manifolds. In this note, we determine entirely connected and simply-connected Lie groups having a left invariant Kenmotsu structure. We show also that these Lie groups are Einstein Riemannian manifolds.

Keywords

Cite

@article{arxiv.2407.16506,
  title  = {Kenmotsu LIe groups},
  author = {Mohamed Boucetta},
  journal= {arXiv preprint arXiv:2407.16506},
  year   = {2024}
}

Comments

5 pages

R2 v1 2026-06-28T17:50:54.903Z