Maxwell strata in sub-Riemannian problem on the group of motions of a plane

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2009004 ◽

2009 ◽

Vol 16 (2) ◽

pp. 380-399 ◽

Author(s):

Igor Moiseev ◽

Yuri L. Sachkov

Keyword(s):

Group Of Motions ◽

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

Journal of Dynamical and Control Systems ◽

10.1007/s10883-014-9239-2 ◽

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 ◽

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

Regular and Chaotic Dynamics ◽

10.1134/s1560354717080044 ◽

2017 ◽

Vol 22 (8) ◽

pp. 949-954 ◽

Author(s):

Alexey P. Mashtakov ◽

Anton Yu. Popov

Keyword(s):

Euclidean Space ◽

Group Of Motions

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Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group

Regular and Chaotic Dynamics ◽

10.1134/s1560354717080020 ◽

2017 ◽

Vol 22 (8) ◽

pp. 909-936 ◽

Author(s):

Andrei A. Ardentov ◽

Yuri L. Sachkov

Keyword(s):

Cut Locus ◽

Engel Group ◽

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The group of motions of the 𝑛-dimensional euclidean space and Bessel functions

Special Functions and the Theory of Group Representations - Translations of Mathematical Monographs ◽

10.1090/mmono/022/12 ◽

1968 ◽

pp. 547-567

Keyword(s):

Euclidean Space ◽

Bessel Functions ◽

Dimensional Euclidean Space ◽

Group Of Motions

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The Group of Motions in the Plane: Kinematic Density

Integral Geometry and Geometric Probability ◽

10.1017/cbo9780511617331.010 ◽

2004 ◽

pp. 80-108

Keyword(s):

Group Of Motions

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Affinely connected spaces admitting a transitive group of motions with a completely reducible stationary linear subgroup

Twelve Papers on Functional Analysis and Geometry - American Mathematical Society Translations: Series 2 ◽

10.1090/trans2/085/09 ◽

1969 ◽

pp. 225-231

Author(s):

N. M. Pisareva

Keyword(s):

Transitive Group ◽

Completely Reducible ◽

Group Of Motions ◽

Connected Spaces

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Empty Space-Times Admitting a Three Parameter Group of Motions

General Relativity and Gravitation ◽

10.1023/b:gerg.0000048984.29896.12 ◽

2004 ◽

Vol 36 (12) ◽

pp. 2699-2719 ◽

Author(s):

A. H. Taub

Keyword(s):

Empty Space ◽

Parameter Group ◽

Group Of Motions

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Gel'fand pair associated with the quantum group of motions of the plane and q-Bessel functions

Reports on Mathematical Physics ◽

10.1016/0034-4877(96)89291-3 ◽

1995 ◽

Vol 35 (2-3) ◽

pp. 303-326 ◽

Author(s):

Leonid Vainerman

Keyword(s):

Quantum Group ◽

Bessel Functions ◽

Group Of Motions

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Classification of Ricci tensor in space-times with a four-parameter group of motions acting on null hypersurfaces

Journal of Physics A General Physics ◽

10.1088/0305-4470/13/5/029 ◽

1980 ◽

Vol 13 (5) ◽

pp. 1721-1728 ◽

Author(s):

M Abdel-Megied

Keyword(s):

Ricci Tensor ◽

Parameter Group ◽

Null Hypersurfaces ◽

Group Of Motions

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On the Three-Dimensional Spaces Which Admit a Continuous Group of Motions

General Relativity and Gravitation ◽

10.1023/a:1015357132699 ◽

2001 ◽

Vol 33 (12) ◽

pp. 2171-2253 ◽

Author(s):

Luigi Bianchi

Keyword(s):

Three Dimensional ◽

Continuous Group ◽

Group Of Motions

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