Results 111 to 120 of about 3,104 (212)

The regularity problem for sub-Riemannian geodesics

reservedThe first section of this thesis aims to illustrate the regularity problem for geodesics in sub-Riemannian manifolds, which can be intended as metric spaces when endowed with the Carnot-Caratheodory if Hörmander's condition holds for the ...
BAGLIONI, GIORGIO
core  

Classes of nonrigid carnot groups

, 2012
The main purpose of this paper is to provide examples of nonrigid Carnot groups that do not appear in the literature. We use a condition in a previous article in order to construct such examples.
Tuan Norhafizah binti Tuan Zakaria
core  

A Notion of Rectifiability Modeled on Carnot Groups

, 2004
We introduce a notion of rectifiability modeled on Carnot groups. Precisely, we say that a subset E of a Carnot group M and N is a subgroup of M, we say E is N-rectifiable if it is the Lipschitz image of a positive measure subset of N.
Pauls, Scott D
core   +1 more source

Entire solutions of quasilinear elliptic systems on Carnot groups

, 2013
We prove general Liouville theorems for systems of quasilinear inequalities on Carnot ...
L. D'AMBROSIO, MITIDIERI, ENZO
core   +1 more source

Roadmap on specialty optical fibers

JPhys Photonics
Optical fibers, long an enabling technology for telecommunications, are proving to play a central role in a growing number of modern applications, starting from high speed broad band internet to medical surgery and entering across the entire spectrum of ...
Mário F S Ferreira, Mohd Rehan, Vishwatosh Mishra, Shailendra Kumar Varshney, Francesco Poletti, Nguyen Phuoc Trung Hoa, Weichao Wang, Qinyuan Zhang, Wenyu Du, Benli Yu, Zhijia Hu, Xian Feng, Jindan Shi, Anjali, Sunil Kumar, Michal Kamrádek, Mukul Chandra Paul, Kazi Abedin, Bertrand Kibler, Frédéric Smektala, Xiushan Zhu, Andrey Pryamikov, Stephan Reitzenstein   +22 more
doaj   +1 more source

Constructing Hölder maps to Carnot groups

Journal of the American Mathematical Society
In this paper, we construct Hölder maps to Carnot groups equipped with a Carnot metric, especially the first Heisenberg group H \mathbb {H}
Wenger, Stefan, Young, Robert
openaire   +3 more sources

Rectifiable sets and intrinsic Lipschitz graphs within Carnot Groups

A Carnot group is a connected, simply connected nilpotent Lie group whose Lie algebra is stratified. In these manifolds naturally arises a distance, called the Carnot-Caratheodory metric, that makes them sub-Riemannian manifolds.
Corni, Francesca
core  

Exceptional sets for self-similar fractals in Carnot groups

, 2017
We consider self-similar iterated function systems in the sub-Riemannian setting of Carnot groups. We estimate the Hausdorff dimension of the exceptional set of translation parameters for which the Hausdorff dimension in terms of the Carnot-Carathéodory ...
MONTI, ROBERTO, BALOGH, ZOLTÁN M., BERGER, RETO, TYSON, JEREMY T.   +3 more
core  

Solving singular evolution problems in sub-Riemannian groups via deterministic games

Electronic Journal of Differential Equations, 2021
Pablo Ochoa, Julio Alejo Ruiz
doaj  

First-order regularity of convex functions on Carnot Groups [PDF]

, 2018
We prove that h-convex functions on Carnot groups of step two are locally Lipschitz continuous with respect to any intrinsic metric. We show that an additional measurability condition implies the local Lipschitz continuity of h-convex functions on ...
Rickly, Matthieu
core