Results 191 to 200 of about 33,779 (212)

An EEG motor imagery dataset for brain computer interface in acute stroke patients. [PDF]

open access: yesSci Data
Liu H   +11 more
europepmc   +1 more source

ABNORMAL SUBANALYTIC DISTRIBUTIONS IN SUB-RIEMANNIAN GEOMETRY

open access: green
Ludovic Rifford   +2 more
openalex   +1 more source

Sub-Riemannian geometry and nonholonomic mechanics

AIP Conference Proceedings, 2011
The purpose of the present paper is to study the geometry of a sub‐Riemannian manifold and to apply the results to the nonholonomic mechanical systems. First, we construct a linear connection on the horizontal distribution and obtain some Bianchi identities for it.
Aurel Bejancu   +2 more
openaire   +2 more sources

Sub-Riemannian Geometry

2009
Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing the theory of sub-Riemannian manifolds using a variational approach in which all properties are obtained from minimum principles, a robust method that is novel in this context.
Ovidiu Calin, Der-Chen Chang
openaire   +1 more source

Foucault pendulum and sub-Riemannian geometry

Journal of Mathematical Physics, 2010
The well known Foucault nonsymmetrical pendulum is studied as a problem of sub-Riemannian geometry on nilpotent Lie groups. It is shown that in a rotating frame a sub-Riemannian structure can be naturally introduced. For small oscillations, three dimensional horizontal trajectories are computed and displayed in detail.
Anzaldo-Meneses, A., Monroy-Pérez, F.
openaire   +1 more source

Curvature in sub-Riemannian geometry

Journal of Mathematical Physics, 2012
We study curvature problems on a nearly Riemannian manifold, which is a sub-Riemannian manifold (M, HM, g, VM) whose adapted tensor field given by (2.2) vanishes identically. First, we prove the existence and uniqueness of what we call horizontal Riemannian connection, which is a torsion-free and metric linear connection ∇ on the horizontal ...
openaire   +1 more source

On measures in sub-Riemannian geometry

2017
In \cite{gjha} we give a detailed analysis of spherical Hausdorff measures on sub-Riemannian manifolds in a general framework, that is, without the assumption of equiregularity. The present paper is devised as a complement of this analysis, with both new results and open questions.
Ghezzi, Roberta   +1 more
openaire   +1 more source

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