Differential geometry using quaternions

dc.contributor.author	Giardino Filho, Sergio Augusto	pt_BR
dc.date.accessioned	2024-12-13T06:56:51Z	pt_BR
dc.date.issued	2024	pt_BR
dc.identifier.issn	1307-5624	pt_BR
dc.identifier.uri	http://hdl.handle.net/10183/282396	pt_BR
dc.description.abstract	This paper establishes the basis of the quaternionic differential geometry (HDG) initiated in a previous article. The usual concepts of curves and surfaces are generalized to quaternionic constraints, as well as the curvature and torsion concepts, differential forms, directional derivatives and the structural equations. The analogy between the quaternionic and the real geometries is obtained using a matrix representation of quaternions. The results evidences the quaternionic formalism as a suitable language to differential geometry that can be useful in various directions of future investigation.	en
dc.format.mimetype	application/pdf	pt_BR
dc.language.iso	eng	pt_BR
dc.relation.ispartof	International Electronic Journal of Geometry. Ankara. Vol. 17, n. 2 (2024), p. 700-711	pt_BR
dc.rights	Open Access	en
dc.subject	Curves in Euclidean space	en
dc.subject	Geometria diferencial	pt_BR
dc.subject	Other special differential geometries	en
dc.subject	Espaço euclidiano	pt_BR
dc.subject	Curvas	pt_BR
dc.subject	Quaternion and other division algebras	en
dc.subject	Quatérnio	pt_BR
dc.title	Differential geometry using quaternions	pt_BR
dc.type	Artigo de periódico	pt_BR
dc.identifier.nrb	001213202	pt_BR
dc.type.origin	Estrangeiro	pt_BR

Este item está licenciado na Creative Commons License