Results 41 to 50 of about 529 (81)

Sub-Riemannian structures on 3D Lie groups [PDF]

, 2016
We give the complete classification of left-invariant sub-Riemannian structures on three dimensional Lie groups in terms of the basic differential invariants.
Agrachev, Andrei, Barilari, Davide
core   +1 more source

Projection Methods for some Constrained Systems [PDF]

, 2011
This article is concerned with a geometric tool given by a pair of projector operators defined by almost product structures on finite dimensional manifolds, polarized by a distribution of constant rank and also endowed with some geometric structures ...
Paulo, Paulo Pitanga, R. Rodrigues
core  

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

C1,α-rectifiability in low codimension in Heisenberg groups

Analysis and Geometry in Metric Spaces
A natural higher-order notion of C1,α{C}^{1,\alpha }-rectifiability ...
Idu Kennedy Obinna, Maiale Francesco Paolo   +1 more
doaj   +1 more source

Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]

Calc Var Partial Differ Equ, 2023
Magnabosco M, Rossi T.
europepmc   +1 more source

Periodic Orbits in the Kepler-Heisenberg Problem

, 2013
One can formulate the classical Kepler problem on the Heisenberg group, the simplest sub-Riemannian manifold. We take the sub-Riemannian Hamiltonian as our kinetic energy, and our potential is the fundamental solution to the Heisenberg sub-Laplacian. The
Shanbrom, Corey
core  

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

J Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

Sobolev-to-Lipschitz property on QCD -spaces and applications. [PDF]

Math Ann, 2022
Dello Schiavo L, Suzuki K.
europepmc   +1 more source

Entropy Dissipation for Degenerate Stochastic Differential Equations via Sub-Riemannian Density Manifold. [PDF]

Entropy (Basel), 2023
Feng Q, Li W.
europepmc   +1 more source

On rectifiable measures in Carnot groups: representation. [PDF]

Calc Var Partial Differ Equ, 2022
Antonelli G, Merlo A.
europepmc   +1 more source