English

Robinson manifolds and the Chern-Robinson connection

Differential Geometry 2026-02-20 v1

Abstract

In this article, we define the Chern-Robinson connection on the complexify tangent bundle of an almost Robinson manifold and we study the curvature associated to. Various Bianchi identities are obtained together with an application to geometry of some Robinson manifolds.

Keywords

Cite

@article{arxiv.2602.17356,
  title  = {Robinson manifolds and the Chern-Robinson connection},
  author = {Robert Petit},
  journal= {arXiv preprint arXiv:2602.17356},
  year   = {2026}
}

Comments

47 pages