Singular Riemannian metrics, sub-rigidity vs rigidity

2011/04/19 by Samir Bekkara, Bekkara, Samir, Abdelghani Zeghib +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1104.3657

12 pages

arxiv created 2011/04/19 · arxiv updated 2011/04/20

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!?

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