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Unrectifiability and rigidity in stratified groups

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Abstract.

In the class of stratified groups endowed with a left invariant Carnot-Carathéodory distance, we give an algebraic characterization of purely unrectifiable groups and we study rigidity properties. The main feature of our approach is the use of a suitable area formula with respect to the Carnot-Carathéodory distance.

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Authors and Affiliations

  1. Dipartimento di Matematica, Via Buonarroti n. 2, I-56127, Pisa, Italy

    Valentino Magnani

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  1. Valentino Magnani
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Correspondence to Valentino Magnani.

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Received: 8 March 2004

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Magnani, V. Unrectifiability and rigidity in stratified groups. Arch. Math. 83, 568–576 (2004). https://doi.org/10.1007/s00013-004-1057-4

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  • DOI: https://doi.org/10.1007/s00013-004-1057-4

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