group of motions
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scholarly journals Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

2020 ◽  
Vol 16 (1) ◽  
pp. 195-208
Author(s):  
A.P. Mashtakov ◽  
◽  
A.Y. Popov ◽  
Keyword(s):  
Euclidean Space ◽  
Group Of Motions

scholarly journals An Approach to Presentation of the Lobachevskii Geometry to Secondary School and First Year University Students

2019 ◽  
Vol 22 (6) ◽  
pp. 737-748
Author(s):  
Вадим Васильевич Шурыгин ◽  
Вадим Вадимович Шурыгин
Keyword(s):  
Secondary School ◽  
University Students ◽  
Euclidean Plane ◽  
First Year ◽  
Lobachevskii Plane ◽  
Group Of Motions ◽  
First Year University

The group of motions of the Lobachevskii plane, as well as that of the Euclidean plane, is generated by reflections in straight lines.This allows ones to develop an approach to constructing the Poincaré model of Lobachevskii plane based on the properties of inversions and pencils of circles in the Euclidean plane.

scholarly journals Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space

2017 ◽  
Vol 22 (8) ◽  
pp. 949-954 ◽  
Author(s):  
Alexey P. Mashtakov ◽  
Anton Yu. Popov
Keyword(s):  
Euclidean Space ◽  
Group Of Motions

Geodesics in a Finsler surface with one-parameter group of motions

2016 ◽  
Vol 89 (1-2) ◽  
pp. 137-160 ◽  
Author(s):  
NOBUHIRO INNAMI ◽  
TETSUYA NAGANO ◽  
KATSUHIRO SHIOHAMA
Keyword(s):  
Parameter Group ◽  
Group Of Motions

scholarly journals Extremal Trajectories and Maxwell Strata in Sub-Riemannian Problem on Group of Motions of Pseudo-Euclidean Plane

2014 ◽  
Vol 20 (3) ◽  
pp. 341-364 ◽  
Author(s):  
Yasir Awais Butt ◽  
Yuri L. Sachkov ◽  
Aamer Iqbal Bhatti
Keyword(s):  
Euclidean Plane ◽  
Group Of Motions ◽  
Extremal Trajectories ◽  
Maxwell Strata

The Lie algebra of the group of motions of a phenomenologically symmetric geometry

2012 ◽  
Vol 91 (1-2) ◽  
pp. 298-301
Author(s):  
V. A. Kyrov
Keyword(s):  
Lie Algebra ◽  
Symmetric Geometry ◽  
Group Of Motions

scholarly journals Integrable quadratic Hamiltonians on the Euclidean group of motions

2010 ◽  
Vol 16 (3) ◽  
pp. 301-317 ◽  
Author(s):  
J. Biggs ◽  
W. Holderbaum
Keyword(s):  
Euclidean Group ◽  
Quadratic Hamiltonians ◽  
Group Of Motions

scholarly journals Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane

2009 ◽  
Vol 16 (4) ◽  
pp. 1018-1039 ◽  
Author(s):  
Yuri L. Sachkov
Keyword(s):  
Cut Time ◽  
Group Of Motions
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