Analytic hyperbolic geometry and Albert Einstein’s special theory of relativity AA Ungar | 299 | 2008 |
Beyond the Einstein addition law and its gyroscopic Thomas precession: The theory of gyrogroups and gyrovector spaces AA Ungar Springer Science & Business Media, 2012 | 235 | 2012 |
Thomas rotation and the parametrization of the Lorentz transformation group AA Ungar Foundations of Physics Letters 1, 57-89, 1988 | 224 | 1988 |
Analytic hyperbolic geometry: Mathematical foundations and applications AA Ungar World Scientific, 2005 | 180 | 2005 |
A gyrovector space approach to hyperbolic geometry A Ungar Springer Nature, 2022 | 170 | 2022 |
Thomas precession and its associated grouplike structure AA Ungar American Journal of Physics 59 (9), 824-834, 1991 | 122 | 1991 |
Thomas precession: its underlying gyrogroup axioms and their use in hyperbolic geometry and relativistic physics AA Ungar Foundations of Physics 27 (6), 881-951, 1997 | 112 | 1997 |
Barycentric calculus in Euclidean and hyperbolic geometry: A comparative introduction AA Ungar World Scientific, 2010 | 111 | 2010 |
An improved representation of boundary conditions in finite difference schemes for seismological problems A Ilan, A Ungar, Z Alterman Geophysical Journal International 43 (3), 727-745, 1975 | 98 | 1975 |
Involutory decomposition of groups into twisted subgroups and subgroups T Foguel, AA Ungar Walter de Gruyter GmbH & Co. KG 3 (1), 27-46, 2000 | 87 | 2000 |
The relativistic velocity composition paradox and the Thomas rotation AA Ungar Foundations of Physics 19 (11), 1385-1396, 1989 | 86 | 1989 |
Hyperbolic trigonometry and its application in the poincaré ball model of hyperbolic geometry AA Ungar Computers & Mathematics with Applications 41 (1-2), 135-147, 2001 | 73 | 2001 |
Weakly associative groups AA Ungar Results in mathematics 17, 149-168, 1990 | 73 | 1990 |
Gyrogroups and the decomposition of groups into twisted subgroups and subgroups T Foguel, AA Ungar Pacific Journal of Mathematics 197 (1), 1-11, 2001 | 62 | 2001 |
The relativistic noncommutative nonassociative group of velocities and the Thomas rotation AA Ungar Results in mathematics 16 (1), 168-179, 1989 | 62 | 1989 |
Hyperbolic triangle centers: The special relativistic approach AA Ungar Springer Science & Business Media, 2010 | 56 | 2010 |
Einstein’s velocity addition law and its hyperbolic geometry AA Ungar Computers & Mathematics with Applications 53 (8), 1228-1250, 2007 | 52 | 2007 |
The hyperbolic Pythagorean theorem in the Poincaré disc model of hyperbolic geometry AA Ungar The American mathematical monthly 106 (8), 759-763, 1999 | 52 | 1999 |
From Möbius to gyrogroups AA Ungar The American Mathematical Monthly 115 (2), 138-144, 2008 | 50 | 2008 |
Alternative fidelity measure between two states of an N-state quantum system JL Chen, L Fu, AA Ungar, XG Zhao Physical Review A 65 (5), 054304, 2002 | 48 | 2002 |