Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers
From MaRDI portal
Publication:1418373
DOI10.1007/BF03042040zbMath1052.83004MaRDI QIDQ1418373
Paul Fjelstad, Sorin Gheorghe Gal
Publication date: 2001
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Related Items (14)
Conformal hyperbolic numbers and two-dimensional Finsler geometry ⋮ One-parameter homothetic motions and Euler-Savary formula in generalized complex number plane \(\mathbb C_J\) ⋮ Applications of hyperbolic numbers to the invariant theory in two-dimensional pseudo-Euclidean space ⋮ Hyperbolic Number Forms of the Euler-Savary Equation ⋮ Introduction to hybrid numbers ⋮ Hybrid complex numbers: the matrix version ⋮ One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\) ⋮ Complex-type numbers and generalizations of the Euler identity ⋮ One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula ⋮ Multiplicative representation of a hyperbolic non distributive algebra ⋮ Geometrical and physical interpretation of evolution governed by general complex algebra ⋮ Multicomplex algebras on polynomials and generalized Hamilton dynamics ⋮ Generalized trigonometric functions and elementary applications ⋮ Geometric representation of the entropy group in nonextensive statistical mechanics
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(n\)-dimensional hyperbolic complex numbers
- A new topology for curved space–time which incorporates the causal, differential, and conformal structures
- Sur le nombre complexe binaire
- The geometry of Minkowski spacetime. An introduction to the mathematics of the special theory of relativity
This page was built for publication: Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers
