English

Stretched non-positive Weyl connections on solvable Lie groups

Differential Geometry 2024-12-20 v1

Abstract

We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting such connections. In dimension 4 we fully classify solvable Lie groups and compact solvmanifolds which admit invariant SNP connections.

Keywords

Cite

@article{arxiv.2207.00318,
  title  = {Stretched non-positive Weyl connections on solvable Lie groups},
  author = {Maciej Bochenski and Piotr Jastrzebski and Aleksy Tralle},
  journal= {arXiv preprint arXiv:2207.00318},
  year   = {2024}
}

Comments

17 pages

R2 v1 2026-06-24T12:10:55.226Z