Results 81 to 90 of about 33,682 (168)

Variation of Perimeter Measure in sub-Riemannian geometry

, 2007
37 ...
HLADKY, Robert K., PAULS, Scott D.
openaire   +3 more sources

Analytic torsion of nilmanifolds with (2, 3, 5) distributions

Analysis and Geometry in Metric Spaces
We consider generic rank two distributions on five-dimensional nilmanifolds and show that the analytic torsion of their Rumin complex coincides with the Ray-Singer torsion.
Haller Stefan
doaj   +1 more source

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj   +1 more source

Geometry of sub-Riemannian diffusion processes

, 2018
Sub-Riemannian geometry is the natural setting for studying dynamical systems, as noise often has a lower dimension than the dynamics it enters. This makes sub-Riemannian geometry an important field of study. In this thesis, we analysis some of the aspects of sub-Riemannian diffusion processes on manifolds.
openaire   +1 more source

Singularities in sub-Riemannian geometry

, 2018
We investigate the relationship between features of of sub-Riemannian geometry and an array of singularities that typically arise in this context.With sub-Riemannian Whitney theorems, we ensure the existence of global extensions of horizontal curves defined on closed set by requiring a non-singularity hypothesis on the endpoint-map of the nilpotent ...
openaire   +1 more source

Sub-riemannian geometry from intrinsic viewpoint

, 2012
These are the notes prepared for the course "Metric spaces with dilations and sub-riemannian geometry from intrinsic point of view", CIMPA research school on sub-riemannian geometry (2012). Unitary exposition based on several previous papers of mine, especially arXiv:0810.5042, hopefully with many details, explanations and some proofs which I ...
openaire   +3 more sources

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

Viscosity solutions to the ∞-Laplace equation in Grushin-type spaces

Modern Mathematical Methods
In this paper, we prove the existence and uniqueness of viscosity solutions to the infinite Laplace equation in Grushin-type spaces whose tangent spaces consist of arbitrary triangular vector fields.
Thomas Bieske, Zachary Forrest
doaj  

RMETNet: A cross-subject motor imagery EEG signal classification model based on TSLANet and riemannian geometry features. [PDF]

PLoS One
Zhao Y, He D, Ren F, Xia Q, Xu L, Xie G, Zhang X, Yang R, Zou S, Jiang B.   +9 more
europepmc   +1 more source

Connected Components on Lie Groups and Applications to Multi-Orientation Image Analysis. [PDF]

J Math Imaging Vis
van den Berg NJ, Mula O, Vis L, Duits R.
europepmc   +1 more source