Integral geometry on surfaces of constant negative curvature

1943 ◽  
Vol 10 (4) ◽  
pp. 687-704 ◽  
Author(s):  
L. A. Santal�
Keyword(s):  
Integral Geometry ◽  
Negative Curvature ◽  
Constant Negative Curvature

scholarly journals Hyperbolic Center of Mass for a System of Particles in a Two-Dimensional Space with Constant Negative Curvature: An Application to the Curved 2-Body Problem

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 531
Author(s):  
Pedro Pablo Ortega Palencia ◽  
Ruben Dario Ortiz Ortiz ◽  
Ana Magnolia Marin Ramirez
Keyword(s):  
Negative Curvature ◽  
Dimensional Space ◽  
Center Of Mass ◽  
Simple Expression ◽  
Two Dimensional ◽  
Constant Negative Curvature ◽  
Euclidean Case ◽  
System Of Particles ◽  
Material Points ◽  
The One

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.

Instantons on hyperbolic four-space

2015 ◽  
Vol 30 (28) ◽  
pp. 1550140 ◽  
Author(s):  
Maxim Popov
Keyword(s):  
Negative Curvature ◽  
Constant Negative Curvature

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

scholarly journals Dually charged mesoatom on the space of constant negative curvature

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