Results 121 to 130 of about 71,381 (220)

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

open access: yesAdvanced 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

Symplectic, Hofer and sub-Riemannian geometry

open access: yes, 2002
The purpose of this note is to make some connection between the sub-Riemannian geometry on Carnot-Caratheodory groups and symplectic geometry. We shall concentrate here on the Heisenberg group, although it is transparent that almost everything can be done on a general Carnot-Caratheodory group.
openaire   +2 more sources

On the Hausdorff volume in sub-Riemannian geometry

open access: green, 2010
Andrei Agrachev   +2 more
openalex   +1 more source

Dilatation structures in sub-riemannian geometry

open access: yes, 2007
Based on the notion of dilatation structure arXiv:math/0608536, we give an intrinsic treatment to sub-riemannian geometry, started in the paper arXiv:0706.3644 . Here we prove that regular sub-riemannian manifolds admit dilatation structures. From the existence of normal frames proved by Bellaiche we deduce the rest of the properties of regular sub ...
openaire   +2 more sources

Singularities in sub-Riemannian geometry

open access: yes, 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 of the coefficients of univalent functions [PDF]

open access: green, 2006
Irina Markina   +2 more
openalex   +1 more source

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