English

Singular Riemannian metrics, sub-rigidity vs rigidity

Differential Geometry 2011-04-20 v1

Abstract

We analyze sub-Riemannian and lightlike metrics from the point of view of their rigidity as geometric structures. Following Cartan's and Gromov's formal definitions, they are never rigid, yet, in generic cases, they naturally give rise to rigid geometric structures!?

Cite

@article{arxiv.1104.3657,
  title  = {Singular Riemannian metrics, sub-rigidity vs rigidity},
  author = {Samir Bekkara and Abdelghani Zeghib},
  journal= {arXiv preprint arXiv:1104.3657},
  year   = {2011}
}

Comments

12 pages

R2 v1 2026-06-21T17:55:56.597Z