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  • Print publication year: 2019
  • Online publication date: October 2019

20 - Volumes in Sub-Riemannian Geometry

Summary

In this chapter we investigate the notion of the intrinsic volume in sub-Riemannian geometry in the case of "equiregular" structures. In particular we consider the Popp and the Hausdorff volumes. On a Riemannian manifold these two notions coincide, but they may be different in sub-Riemannian geometry.