Tanaka-Webster curvatures of surfaces in 3D Lie groups with a CR structure

Ioannis D. Platis; Dimitrios Tsolis

Tanaka-Webster curvatures of surfaces in 3D Lie groups with a CR structure

Differential Geometry 2026-06-28 v1

Authors: Ioannis D. Platis , Dimitrios Tsolis

Abstract

We consider the Tanaka-Webster geometry of surfaces embedded in a 3-dimensional Lie group with a CR structure inherited by a contact form. We define the notions of Gauss and mean curvature and give specific examples.

Keywords

Tanaka-Webster geometry CR structure surfaces 3D Lie groups curvature

Cite

@article{arxiv.2606.29313,
  title  = {Tanaka-Webster curvatures of surfaces in 3D Lie groups with a CR structure},
  author = {Ioannis D. Platis and Dimitrios Tsolis},
  journal= {arXiv preprint arXiv:2606.29313},
  year   = {2026}
}

Comments

20 pages