Results 171 to 180 of about 14,114 (194)

Heisenberg and Carnot Groups

2023
openaire   +1 more source

Area of intrinsic graphs and coarea formula in Carnot groups

Mathematische Zeitschrift, 2022
Sebastiano Nicolussi Golo, Davide Vittone   +1 more
exaly  

Isoperimetric sets on Carnot groups

2003
The authors prove the existence of the isoperimetric set in Carnot groups, that is the existence of a set \(E\) minimizing the intrinsic perimeter \(P_G\) among all measurable sets of prescribed Lebesgue measure \(v\). The authors give also some regularity result of this set; they prove that the set \(E\) has a unique reduced equivalent set \(E_1 ...
LEONARDI, Gian Paolo, Rigot, Severine
openaire   +3 more sources

Classes of nonrigid Carnot groups

2012
This paper gives some examples of nonrigid Carnot groups. The author also defines a class of nonrigid Hessenberg manifolds by virtue of the language of root systems.
openaire   +2 more sources

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

Analysis and Geometry in Metric Spaces, 2017
Enrico Le Donne
exaly  

On the structure of finite perimeter sets in step 2 Carnot groups

Journal of Geometric Analysis, 2003
Bruno Franchi, Francesco Serra Cassano
exaly  

Harnack inequality for fractional sub-Laplacians in Carnot groups

Mathematische Zeitschrift, 2014
Fausto Ferrari, Bruno Franchi
exaly  

Reverse Poincaré inequalities, isoperimetry, and Riesz transforms in Carnot groups

Nonlinear Analysis: Theory, Methods & Applications, 2016
Fabrice Baudoin
exaly  

Interpolations and fractional Sobolev spaces in Carnot groups

Nonlinear Analysis: Theory, Methods & Applications, 2019
Ali Maalaoui, Andrea Pinamonti
exaly  

Rectifiability of Sets of Finite Perimeter in Carnot Groups: Existence of a Tangent Hyperplane

Journal of Geometric Analysis, 2009
Luigi Ambrosio, Enrico Le Donne
exaly