Results 121 to 130 of about 964 (155)

Jet Spaces as Nonrigid Carnot Groups

Journal of Lie Theory, 2005
On the jet spaces \(J^k(\mathbb R^m,\mathbb R^n)\) product is defined, which turns then to Carnot groups. It is emphasized that this product gives rise to a contact structure which coincides with the classical contact structure in the Lie-Bäcklund setting.
Warhurst, Ben, Ben Warhurst
openaire   +4 more sources

Convexity in Carnot groups

, 2005
We give an account of recent results and open questions related to the notion of convexity in Carnot groups.
MAGNANI, VALENTINO
openaire   +2 more sources

Submanifolds in Carnot Groups

, 2008
The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub-Riemannian structure; particular emphasis is given to the case of Heisenberg groups. A Geometric Measure Theory viewpoint is adopted, and features as intrinsic perimeters, Hausdorff measures, area formulae, calibrations and minimal surfaces are ...
VITTONE, DAVIDE
openaire   +2 more sources

Some of the next articles are maybe not open access.

Related searches:

Mikhlin’s problem on Carnot groups

Siberian Mathematical Journal, 2008
Summary: We consider one class of singular integral operators over the functions on domains of Carnot groups.
openaire   +2 more sources

Quasi-convex Functions in Carnot Groups*

Chinese Annals of Mathematics, Series B, 2007
The authors introduce the concept of \(h\)-quasiconvexity which generalizes the notion of \(h\)-convexity in the Carnot group \(G\). An example of \(h\)-quasiconvex function which is not \(h\)-convex is provided. Some interesting properties similar to those of \(h\)-convex functions on \(G\) are given.
Sun, Mingbao, Yang, Xiaoping
openaire   +2 more sources

Elements of Potential Theory on Carnot Groups

Functional Analysis and Its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruzhansky, MV, Suragan, D
openaire   +3 more sources

Homogenization and Convergence of Correctors in Carnot Groups

Communications in Partial Differential Equations, 2005
ABSTRACT We consider homogenization of differential operators of the form where is a family of linearly independent vector fields in ℝ N that by commutation generate the Lie algebra of a Carnot group, a ij (ξ) are periodic functions in the sense of the group, and δ1/e are the dilations in the group. We establish Meyers type estimates for the horizontal
FRANCHI, BRUNO, Gutiérrez C. E., van Nguyen T.   +2 more
openaire   +1 more source

WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS

Communications in Contemporary Mathematics, 2012
In this paper we define Maxwell's equations in the setting of the intrinsic complex of differential forms in Carnot groups introduced by M. Rumin. It turns out that these equations are higher-order equations in the horizontal derivatives. In addition, when looking for a vector potential, we have to deal with a new class of higher-order evolution ...
FRANCHI, BRUNO, TESI, MARIA CARLA
openaire   +2 more sources

Classification of a Class of Nonrigid Carnot Groups

Journal of Lie Theory, 2015
The authors classify up to isomorphism a class of nonrigid Carnot groups. They also identify all \(C^2\) quasiconformal maps of these nonrigid Carnot groups. The results are interesting.
Hughes, Michael R., Staic, Mihai D., Xie, Xiangdong   +2 more
openaire   +2 more sources

Classes of Maximal Surfaces on Carnot Groups

Siberian Mathematical Journal, 2020
This paper contains a discussion of graph surfaces in nilpotent Lie groups with sub-Lorentzian geometric structure. Such graph surfaces are a generalization of Euclidean graphs to the setting of contact mappings between appropriately structured nilpotent Lie groups.
openaire   +2 more sources