A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries
By Enrico Le Donne. 2018
99 citations recorded by the source corpus.
: Carnotgroupsaredistinguishedspacesthatarerichofstructure:theyarethoseLiegroupsequipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance. We present the basic theory of Carnot groups together with several remarks. We consider them as special cases of graded groups and as homogeneous metric spaces. We discuss the regularity of isometries in the general case of Carnot-Carathéodory spaces and of nilpotent metric Lie groups.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/65a879a2a7e6b76ed0d8fb259d0e2924c2b45d31
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Astronomy and Astrophysics
In Mathematical Physics
Citations in the corpus
- On the Homogenization of the Hamilton-Jacobi Equation (2019, background): “See also [20] for a nice presentation of these objects.”