Sub-Riemannian and sub-Lorentzian geometry on $SU(1,1)$ and on its universal cover-Reference-Cited by-同舟云学术

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

Published:2011 Issue:2 Volume:3 Page:225-260
ISSN:1941-4897
Container-title:Journal of Geometric Mechanics
language:en
Short-container-title:

Author:

Grong Erlend, ,Vasil’ev Alexander

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Earth and Planetary Sciences,General Environmental Science,Applied Mathematics,Control and Optimization,Geometry and Topology,Mechanics of Materials

Reference22 articles.

1. Exponential mapping for contact sub-Riemannian structures,;A. Agrachev;Journal of Dynamical and Control Systems,1996

2. "Control Theory From The Geometric Viewpoint,";A. Agrachev;Encyclopaedia of Math. Sci.,2004

3. "Sub-Riemannian Geometry", Edited by André Bellaïche and Jean-Jacques Risler, Progress in Mathematics, 144,;Birkhäuser Verlag,1996

4. Invariant Carnot-Caratheodory metric on $S^3$, $SO(3)$, $SL(2)$ and lens spaces,;U. Boscain;SIAM J. Control Optim.,2008

5. "Sub-Riemannian Geometry. General Theory and Examples," Encyclopedia of Mathematics and its Applications, 126,;O. Calin;Cambridge Univ. Press,2009

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