English

Generalized Eta-Einstein and $(\kappa ,\mu )$-structures

Differential Geometry 2023-10-09 v1

Abstract

Generalized (κ,μ)(\kappa ,\mu ) structures occur in dimension 3 only. In this dimension 3, only K-contact structures can occur as generalized Eta-Einstein. On closed manifolds, Eta-Einstein, K-contact structures which are not D-homothetic to Einstein structures are almost regular. We also construct examples of compact, generalized Jacobi (κ,μ)(\kappa ,\mu )-structures.

Keywords

Cite

@article{arxiv.2310.04000,
  title  = {Generalized Eta-Einstein and $(\kappa ,\mu )$-structures},
  author = {Philippe Rukimbira},
  journal= {arXiv preprint arXiv:2310.04000},
  year   = {2023}
}
R2 v1 2026-06-28T12:42:14.638Z