scholarly journals Separation of Variables for the Hamilton–Jacobi Equation on Complex Projective Spaces

1985 ◽  
Vol 16 (1) ◽  
pp. 93-109 ◽  
Author(s):  
C. P. Boyer ◽  
E. G. Kalnins ◽  
P. Winternitz
Keyword(s):  
Jacobi Equation ◽  
Separation Of Variables ◽  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective ◽  
Hamilton Jacobi Equation

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.

Homotopies of maps of suspended real and complex projective spaces and their cohomotopy groups

2020 ◽  
pp. 107553 ◽  
Author(s):  
Marek Golasiński ◽  
Thiago de Melo ◽  
Edivaldo L. dos Santos
Keyword(s):  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective

Determinants of the Laplacians on complex projective spaces Pn(C) (n ≥ 1)

2018 ◽  
Vol 190 ◽  
pp. 131-155 ◽  
Author(s):  
Richard Olu Awonusika
Keyword(s):  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective

scholarly journals Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces

1984 ◽  
Vol 16 (2) ◽  
pp. 81-121 ◽  
Author(s):  
David G. Kendall
Keyword(s):  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective

scholarly journals CONICS ON A GENERAL HYPERSURFACE IN COMPLEX PROJECTIVE SPACES

2013 ◽  
Vol 50 (6) ◽  
pp. 2071-2077
Author(s):  
Dongsoo Shin
Keyword(s):  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective

scholarly journals Immersions of real projective spaces into complex projective spaces

1987 ◽  
Vol 17 (3) ◽  
pp. 659-664
Author(s):  
Tsutomu Yasui
Keyword(s):  
Projective Spaces ◽  
Complex Projective Spaces ◽  
Complex Projective
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