scholarly journals Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature

2014 ◽  
pp. 219-236
Author(s):  
Julià Cufí ◽  
Agustí Reventós
Keyword(s):  
Constant Curvature ◽  
Two Dimensional ◽  
Spaces Of Constant Curvature ◽  
Isoperimetric Deficit

scholarly journals Separable Potentials and a Triality in Two-Dimensional Spaces of Constant Curvature

2005 ◽  
Vol 12 (2) ◽  
pp. 230-252 ◽  
Author(s):  
José F. Cariñena ◽  
Manuel F Rañada ◽  
Mariano Santander ◽  
Teresa Sanz-Gil
Keyword(s):  
Constant Curvature ◽  
Two Dimensional ◽  
Spaces Of Constant Curvature ◽  
Separable Potentials

Center of Mass Theorem and the Separation of Variables for Two-Body System on a Three-Dimensional Sphere

2020 ◽  
Vol 23 (3) ◽  
pp. 306-311
Author(s):  
Yu. Kurochkin ◽  
Dz. Shoukavy ◽  
I. Boyarina
Keyword(s):  
Constant Curvature ◽  
Jacobi Equation ◽  
Separation Of Variables ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Relative Distance ◽  
Dimensional Sphere ◽  
Body System ◽  
Spaces Of Constant Curvature ◽  
Hamilton Jacobi Equation

The immobility of the center of mass in spaces of constant curvature is postulated based on its definition obtained in [1]. The system of two particles which interact through a potential depending only on the distance between particles on a three-dimensional sphere is considered. The Hamilton-Jacobi equation is formulated and its solutions and trajectory equations are found. It was established that the reduced mass of the system depends on the relative distance.

Simplexes in spaces of constant curvature

1991 ◽  
Vol 38 (1) ◽  
Author(s):  
B.V. Dekster ◽  
J.B. Wilker
Keyword(s):  
Constant Curvature ◽  
Spaces Of Constant Curvature
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