Beyond the Einstein addition law and its gyroscopic Thomas precession. The theory of gyrogroups and gyrovector spaces

Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Special relativity (83A05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Equations of motion in general relativity and gravitational theory (83C10) Classical or axiomatic geometry and physics (51P05)

Related Items (32)

Quotient with respect to admissible \(L\)-subgyrogroups ⋮ The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems ⋮ Novel Tools to Determine Hyperbolic Triangle Centers ⋮ On Schreier graphs of gyrogroup actions ⋮ Middle Bruck loops and the total multiplication group ⋮ Complex boosts: a Hermitian Clifford algebra approach ⋮ Differential equations of smooth loops related to some space-time models: Integrability conditions and geometry ⋮ A Mazur-Ulam theorem for normed gyrolinear spaces ⋮ Defect and area in Beltrami-Klein model of hyperbolic geometry ⋮ Unnamed Item ⋮ The cogyrolines of Möbius gyrovector spaces are metric but not periodic ⋮ The Einstein relativistic velocity model of hyperbolic geometry and its plane separation axiom ⋮ Seeing the Möbius disc-transformation group like never before. ⋮ Algebraic and Geometric Structures in Special Relativity ⋮ Bol loops and Bruck loops of order \(pq\) ⋮ Construction of New Gyrogroups and the Structure of their Subgyrogroups ⋮ Einstein's velocity addition law and its hyperbolic geometry ⋮ A computational journey into the mind ⋮ Einstein's special relativity: Unleashing the power of its hyperbolic geometry ⋮ The finite Bruck loops. ⋮ On algebraic structures related to Beltrami-Klein model of hyperbolic geometry ⋮ On trigonometry in Beltrami-Klein model of hyperbolic geometry ⋮ Local algebras of a differential quasigroup ⋮ Weak associativity and quasigroup units ⋮ A note on (strongly) topological gyrogroups ⋮ Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order ⋮ On paratopological gyrogroups ⋮ Thomas rotation and Thomas precession ⋮ Feathered gyrogroups and gyrogroups with countable pseudocharacter ⋮ On the isotopic characterizations of generalized Bol loops ⋮ Strong near subgroups and left gyrogroups ⋮ Gyrogroup actions: a generalization of group actions

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