Results 41 to 50 of about 535 (65)

On the role of embeddability in conformal pseudo-hermitian geometry

Analysis and Geometry in Metric Spaces
In this article, we review some recent results about the role of embeddability in conformal CR (Cauchy-Riemann) geometry. We will show how this condition enters in the second variation of the pseudo-hermitian counterpart of the Einstein-Hilbert action ...
Malchiodi Andrea
doaj   +1 more source

Isodiametric inequality in Carnot groups

, 2010
The classical isodiametric inequality in the Euclidean space says that balls maximize the volume among all sets with a given diameter. We consider in this paper the case of Carnot groups.
Rigot, Severine
core   +4 more sources

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  

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

Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups [PDF]

, 2014
Left-invariant sub-Riemannian problems on unimodular 3D Lie groups are considered. For the Hamiltonian system of Pontryagin maximum principle for sub-Riemannian geodesics, the Liouville integrability and superintegrability are ...
Mashtakov, Alexey P., Sachkov, Yuri L.
core   +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

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

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

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