English

Singular multicontact structures

Differential Geometry 2014-09-09 v1

Abstract

We describe the automorphisms of a singular multicontact structure, that is a generalisation of the Martinet distribution. Such a structure is interpreted as a para-CR structure on a hypersurface M of a direct product space R^2 x R^2. We introduce the notion of a finite type singularity analogous to CR geometry and, along the way, we prove extension results for para-CR functions and mappings on embedded para-CR manifolds into the ambient space.

Keywords

Cite

@article{arxiv.1409.2229,
  title  = {Singular multicontact structures},
  author = {Alessandro Ottazzi and Gerd Schmalz},
  journal= {arXiv preprint arXiv:1409.2229},
  year   = {2014}
}
R2 v1 2026-06-22T05:50:55.516Z