Results 201 to 210 of about 70,602 (222)

ABNORMAL SUBANALYTIC DISTRIBUTIONS IN SUB-RIEMANNIAN GEOMETRY

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

Spherically symmetric teleparallel geometries. [PDF]

open access: yesEur Phys J C Part Fields
Coley AA   +3 more
europepmc   +1 more source

Optimal control theory, sub-Riemannian geometry and swimming of copepod

open access: green, 2017
Piernicola Bettiol   +3 more
openalex   +1 more source

Rapid fluctuations in functional connectivity of cortical networks encode spontaneous behavior. [PDF]

open access: yesNat Neurosci
Benisty H   +9 more
europepmc   +1 more source

The tangent space in sub-riemannian geometry

Journal of Mathematical Sciences, 1994
Let \(M\) be a sub-Riemannian manifold. Suppose that the Hörmander condition holds. Then to each point \(p\in M\) we can associate its degree of nonholonomy \(r(p)\) which counts how many bracket iterations of horizontal vector fields near \(p\) are needed to span the tangent space \(T_pM\).
A. Bellaïche
semanticscholar   +4 more sources

Topics in sub-Riemannian geometry

Russian Mathematical Surveys, 2016
Subriemannian geometry is geometry of the spaces with nonholonomic constraints. In this paper, we give an informal survey of some topics from the subject starting from the construction of geodesic lines and arriving to the recent definition of the curvature.
A. Agrachev
semanticscholar   +4 more sources

Introduction to geodesics in sub-Riemannian geometry

, 2016
These lectures focus on some probabilistic aspects related to sub-Riemannian geometry. The main intention is to give an introduction to hypoelliptic and subelliptic diffusions. The notes are written from a geometric point of view trying to minimize the weight of “probabilistic baggage” necessary to follow the arguments.
A. Agrachev, D. Barilari, U. Boscain
semanticscholar   +7 more sources

Sub-Riemannian Geometry and Optimal Transport

, 2014
The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notion of distribution at the very beginning to the ...
L. Rifford
semanticscholar   +3 more sources

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