Titolo | An introduction to constant curvature spaces in the commutative (Segre) quaternion geometry |
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Tipo di pubblicazione | Articolo su Rivista peer-reviewed |
Anno di Pubblicazione | 2006 |
Autori | Catoni, F., Cannata R., and Zampetti P. |
Rivista | Advances in Applied Clifford Algebras |
Volume | 16 |
Paginazione | 85-101 |
ISSN | 01887009 |
Abstract | It is known that complex numbers can be associated with plane Euclidean geometry and their functions are successfully used for studying extensions of Euclidean geometry, i.e., non-Euclidean geometries and surfaces differential geometry. In this paper we begin to study the constant curvature spaces associated with the geometry generated by commutative elliptic-quaternions and we show how the "mathematics" they generate allows us to introduce these spaces and obtain the geodesic equations without developing a complete mathematical apparatus as the one developed for Riemannian geometry. © Birkhäuser Verlag, Basel/Switzerland 2006. |
Note | cited By 5 |
URL | https://www.scopus.com/inward/record.uri?eid=2-s2.0-33750191877&doi=10.1007%2fs00006-006-0010-y&partnerID=40&md5=6210d6c04a75d3e68735e0d49dc0669a |
DOI | 10.1007/s00006-006-0010-y |
Citation Key | Catoni200685 |