Results 151 to 160 of about 732 (169)

Volumes in Sub-Riemannian Geometry

2019
In this chapter we investigate the notion of the intrinsic volume in sub-Riemannian geometry in the case of "equiregular" structures. In particular we consider the Popp and the Hausdorff volumes. On
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Introduction to geodesics in sub-Riemannian geometry

2016
Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the theory of hypoelliptic operators and degenerate diffusions on manifolds.
Agrachev, Andrei, Barilari, Davide, Boscain, Ugo   +2 more
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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.
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Numerical methods for sub-Riemannian geometry

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003
Consider a sub-Riemannian geometry (U,/spl Delta/,g) where U is a neighborhood of 0 in R/sup n/, /spl Delta//spl sub/TR/sup n/ a distribution of constant rank m and g a Riemannian metric defined on /spl Delta/. One of the main questions related to a given sub-Riemannian structure is the description of the conjugate and cut loci, of the sphere and the ...
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Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry

Advances in Mathematics, 2017
Ugo Boscain, Robert Neel, Luca Rizzi
exaly  

Sub-Riemannian Geometry

1996
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On the Spherical Hausdorff Measure in Step 2 Corank 2 Sub-Riemannian Geometry

SIAM Journal on Control and Optimization, 2013
Ugo Boscain, Jean-Paul Gauthier
exaly  

On configuration spaces of plane polygons, sub-Riemannian geometry and periodic orbits of outer billiards

Journal of Modern Dynamics, 2007
Serge Tabachnikov
exaly  

A contact covariant approach to optimal control with applications to sub-Riemannian geometry

Mathematics of Control, Signals, and Systems, 2016
Witold Respondek
exaly  

Sub-Riemannian and sub-Lorentzian geometry on $SU(1,1)$ and on its universal cover

Journal of Geometric Mechanics, 2011
Erlend Grong, Alexander Vasil'Ev
exaly