Ontology type: schema:ScholarlyArticle Open Access: True
2016-01
AUTHORSEnrico Le Donne, Alessandro Ottazzi
ABSTRACTWe show that isometries between open sets of Carnot groups are affine. This result generalizes a result of Hamenstädt. Our proof does not rely on her proof. We show that each isometry of a sub-Riemannian manifold is determined by the horizontal differential at one point. We then extend the result to sub-Finsler homogeneous manifolds. We discuss the regularity of isometries of homogeneous manifolds equipped with homogeneous distances that induce the manifold topology. More... »
PAGES330-345
http://scigraph.springernature.com/pub.10.1007/s12220-014-9552-8
DOIhttp://dx.doi.org/10.1007/s12220-014-9552-8
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