Geodesics in the Engel Group with a Sub-Lorentzian Metric
نویسندگان
چکیده
منابع مشابه
A Morse complex for Lorentzian geodesics
We prove the Morse relations for all geodesics connecting two non-conjugate points on a class of globally hyperbolic Lorentzian manifolds. We overcome the difficulties coming from the fact that the Morse index of every geodesic is infinite, and from the lack of the Palais-Smale condition, by using the Morse complex approach. Introduction Let M be a smooth connected manifold without boundary of ...
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Let G be a non-Engel group and let L(G) be the set of all left Engel elements of G. Associate with G a graph EG as follows: Take G\L(G) as vertices of EG and join two distinct vertices x and y whenever [x,k y] 6= 1 and [y,k x] 6= 1 for all positive integers k. We call EG, the Engel graph of G. In this paper we study the graph theoretical properties of EG.
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ژورنال
عنوان ژورنال: Journal of Dynamical and Control Systems
سال: 2015
ISSN: 1079-2724,1573-8698
DOI: 10.1007/s10883-015-9295-2