N-dimensional geometries generated by hypercomplex numbers

Francesco Catoni, Roberto Cannata, Vincenzo Catoni, Paolo Zampetti

Type: Article

Publication Date: 2005-03-01

Citations: 25

DOI: https://doi.org/10.1007/s00006-005-0001-4

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Locations

Advances in Applied Clifford Algebras - View

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Works That Cite This (22)

Action	Title	Year	Authors
+	Commutative hypercomplex numbers and functions of hypercomplex variable: a matrix study	2005	Francesco Catoni Roberto Cannata E. Nichelatti Paolo Zampetti
+	An Introduction to Constant Curvature Spaces in the Commutative (Segre) Quaternion Geometry	2006	Francesco Catoni Roberto Cannata Paolo Zampetti
+ PDF Chat	Relativistic quantum physics with hyperbolic numbers	2005	S. Ulrych
+	Clifford Product and Lorentzian Plane Displacements In 3-Dimensional Lorentzian Space	2008	Hali̇t Gündoğan Sıddıka Özkaldı
+ PDF Chat	Gravitoelectromagnetism in a complex Clifford algebra	2005	S. Ulrych
+	A Bianchi’s Relation Between Commutative Hypercomplex Numbers and Riemannian Geometry: an Updated Reading	2008	Francesco Catoni
+	Hyperbolic Numbers	2011	Francesco Catoni Dino Boccaletti Roberto Cannata Vincenzo Catoni Paolo Zampetti
+ PDF Chat	Space-Time Trigonometry and Formalization of the “Twin Paradox” for Uniform and Accelerated Motions	2006	Dino Boccaletti Francesco Catoni Vincenzo Catoni
+	Cramer's rule for a class of coupled Sylvester commutative quaternion matrix equations	2024	Xiaomin Cai Yifen Ke Changfeng Ma
+	An Introduction to Commutative Quaternions	2006	Francesco Catoni Roberto Cannata Paolo Zampetti

Works Cited by This (8)

Action	Title	Year	Authors
+	ELEMENTS OF QUATERNIONS.	1881	Alexandre Hardy Alex S. Christie
+ PDF Chat	On Hypercomplex Numbers	1908	J. H. M. Wedderburn
+	Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers	2001	Paul Fjelstad Sorin G. Gal
+	Two-dimensional hypercomplex numbers and related trigonometries and geometries	2004	Francesco Catoni Roberto Cannata Vincenzo Catoni Paolo Zampetti
+	Hyperbolic trigonometry in two-dimensional space-time geometry	2003	Francesco Catoni Roberto Cannata Vincenzo Catoni Paolo Zampetti
+	Two-dimensional space-time simmetry in hyperbolic functions	2000	Francesco Catoni Paolo Zampetti
+	A simple non-Euclidean geometry and its physical basis	1979	I. M. I︠A︡glom
+	An Introduction to Multicomplex SPates and Functions	2018	Price