Sub-Lorentzian Structures in ℝ 4 $\mathbb {R}^{4}$ : Left-Invariance and Conformal Normal Forms-Reference-Cited by-同舟云学术

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Sub-Lorentzian Structures in ℝ 4 $\mathbb {R}^{4}$ : Left-Invariance and Conformal Normal Forms

Published:2018-03-06 Issue:3 Volume:24 Page:371-389
ISSN:1079-2724
Container-title:Journal of Dynamical and Control Systems
language:en
Short-container-title:J Dyn Control Syst

Author:

Bogaevsky Ilya^ORCID

Funder

Russian Foundation for Basic Research

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Link

http://link.springer.com/article/10.1007/s10883-018-9396-9/fulltext.html

Reference11 articles.

1. Agrachev AA. Exponential mappings for contact sub-Riemannian structures. J Dyn Control Syst 1996;2:321–58.

2. Agrachev AA, Sachkov YL. Control theory from the geometric viewpoint, volume 87 of Encycl. Math. Sci. Berlin: Springer; 2004.

3. Arnol’d VI. On the interior scattering of waves, defined by hyperbolic variational principles. J Geom Phys 1988;5(3):305–15.

4. Grochowski M. Normal forms of germs of contact sub-Lorentzian structures on ℝ 3 $\mathbb {R}^{3}$ . Differentiability of the sub-Lorentzian distance function. J Dyn Control Syst 2003;9(4): 531–47.

5. Grochowski M. Reachable sets for the Heisenberg sub-Lorentzian structure on ℝ 3 $\mathbb {R}^{3}$ . An estimate for the distance function. J Dyn Control Syst 2006;12(2):145–60.

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1. On the Effect of Intersection of Characteristics in a Two-Dimensional Massless Dirac Equation with Linear Potential and Localized Initial Condition;Russian Journal of Mathematical Physics;2021-04

2. Fronts of control-affine systems in R^3;Journal of Singularities;2020

3. Causality and topology in sub-Lorentzian geometry;Journal of Mathematical Physics;2019-01

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