Integral geometry on surfaces of constant negative curvature

1943 ◽  
Vol 10 (4) ◽  
pp. 687-704 ◽  
Author(s):  
L. A. Santal�
Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 531
Author(s):  
Pedro Pablo Ortega Palencia ◽  
Ruben Dario Ortiz Ortiz ◽  
Ana Magnolia Marin Ramirez

In this article, a simple expression for the center of mass of a system of material points in a two-dimensional surface of Gaussian constant negative curvature is given. By using the basic techniques of geometry, we obtained an expression in intrinsic coordinates, and we showed how this extends the definition for the Euclidean case. The argument is constructive and serves to define the center of mass of a system of particles on the one-dimensional hyperbolic sphere LR1.


2015 ◽  
Vol 30 (28) ◽  
pp. 1550140 ◽  
Author(s):  
Maxim Popov

The ADHM construction of instantons on four-sphere is extended to hyperbolic four-space of constant negative curvature.


1996 ◽  
Vol 37 (4) ◽  
pp. 1642-1649
Author(s):  
V. D. Ivashchuk ◽  
V. N. Melnikov

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