scholarly journals Necessary conditions for classical super-integrability of a certain family of potentials in constant curvature spaces

2010 ◽  
Vol 43 (38) ◽  
pp. 382001 ◽  
Author(s):  
Andrzej J Maciejewski ◽  
Maria Przybylska ◽  
Haruo Yoshida
Keyword(s):  
Constant Curvature ◽  
Necessary Conditions ◽  
Constant Curvature Spaces

scholarly journals Note on integrability of certain homogeneous Hamiltonian systems in 2D constant curvature spaces

2017 ◽  
Vol 381 (7) ◽  
pp. 725-732 ◽  
Author(s):  
Andrzej J. Maciejewski ◽  
Wojciech Szumiński ◽  
Maria Przybylska
Keyword(s):  
Hamiltonian Systems ◽  
Constant Curvature ◽  
Constant Curvature Spaces

scholarly journals Almost geodesic mappings of type π1* of spaces with affine connection

2021 ◽  
Vol 52 ◽  
pp. 30-36
Author(s):  
Volodymyr Evgenyevich Berezovskii ◽  
Josef Mikeš ◽  
Željko Radulović
Keyword(s):  
Constant Curvature ◽  
Affine Connection ◽  
Affine Connections ◽  
Fundamental Equations ◽  
Special Case ◽  
Constant Curvature Spaces

We consider almost geodesic mappings π1* of spaces with affine connections. This mappings are a special case of first type almost geodesic mappings. We have found the objects which are invariants of the mappings π1*. The fundamental equations of these mappings are in Cauchy form. We study π1* mappings of constant curvature spaces.

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