منابع مشابه
Smoothness of Isometries between Subriemannian Manifolds
Abstract In a joint work with Enrico Le Donne (Jyvaskyla, Finland) we show that the group of isometries (i.e., distance-preserving homeomorphisms) of an equiregular subRiemannian manifold is a finitedimensional Lie group of smooth transformations. The proof is based on a new PDE argument, in the spirit of harmonic coordinates, establishing that in an arbitrary subRiemannian manifold there exist...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2016
ISSN: 1080-6377
DOI: 10.1353/ajm.2016.0043