Results 121 to 130 of about 2,812 (235)

Sub-Riemannian calculus on hypersurfaces in Carnot groups [PDF]

open access: green, 2007
Donatella Danielli   +2 more
openalex   +1 more source

Chaotic Geodesics in Carnot Groups

open access: yes, 1997
The group of real 4 by 4 upper triangular matrices with 1s on the diagonal has a left-invariant subRiemannian (or Carnot-Caratheodory) structure whose underlying distribution corresponds to the superdiagonal. We prove that the associated subRiemannian geodesic flow is not completely integrable.
Montgomery, R., Shapiro, M., Stolin, A.
openaire   +2 more sources

Existence of infinitely many solutions for critical sub-elliptic systems via genus theory

open access: yesCommunications in Analysis and Mechanics
We are devoted to the study of the following sub-Laplacian system with Hardy-type potentials and critical nonlinearities $ \begin{equation*} \left\{\begin{aligned} -\Delta_{\mathbb{G}}u-\mu_{1}\frac{\psi^{2}u}{\text{d}(z)^{2}} = \lambda_{1}\frac{\psi^{
Hongying Jiao, Shuhai Zhu , Jinguo Zhang
doaj   +1 more source

Exceptional sets for self-similar fractals in Carnot groups [PDF]

open access: green, 2010
Zoltán M. Balogh   +3 more
openalex   +1 more source

Roadmap on specialty optical fibers

open access: yesJPhys 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   +22 more
doaj   +1 more source

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