A generalization of the notion of helix

Lucas Saorín, Pascual; Ortega Yagües, José Antonio

Publication:
A generalization of the notion of helix

dc.contributor.author	Lucas Saorín, Pascual
dc.contributor.author	Ortega Yagües, José Antonio
dc.contributor.department	Matemáticas
dc.date.accessioned	2025-10-06T11:38:20Z
dc.date.available	2025-10-06T11:38:20Z
dc.date.copyright	© 2023 TUBITAK
dc.date.issued	2023
dc.description.abstract	In this paper we generalize the notion of helix in the three-dimensional Euclidean space, which we define as that curve $\alpha$ for which there is an $F$-constant vector field $W$ along $\alpha$ that forms a constant angle with a fixed direction $V$ (called an axis of the helix). We find the natural equation and the geometric integration of helices $\alpha$ where the $F$-constant vector field $W$ is orthogonal to its axis.
dc.format	application/pdf
dc.format.extent	12
dc.identifier.citation	Turkish Journal of Mathematics, Vol. 47 (4), pp. 1158-1168
dc.identifier.doi	https://doi.org/10.55730/1300-0098.3418
dc.identifier.eissn	1303-6149
dc.identifier.issn	1300-0098
dc.identifier.uri	http://hdl.handle.net/10201/164729
dc.language	eng
dc.publisher	Scientific and Technological Research Council of Turkey
dc.relation	This research is part of the grant PID2021-124157NB-I00, funded by MCIN/ AEI/ 10.13039/ 501100011033/ 23 “ERDF A way of making Europe”. Also supported by “Ayudas a proyectos para el desarrollo de investigación científica y técnica por grupos competitivos”, included in the “Programa Regional de Fomento de la Investigación Científica y Técnica (Plan de Actuación 2022) of the Fundación Seneca - Agencia de Ciencia y Tecnología de la Región de Murcia Ref. 21899/PI/22.
dc.relation.publisherversion	https://journals.tubitak.gov.tr/math/vol47/iss4/8/
dc.rights	Attribution 4.0 International	*
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Helix
dc.subject	Osculating helix
dc.subject	Normal helix
dc.subject	Rectifying helix
dc.subject	$F$-constant vector field
dc.subject	Darboux vector
dc.subject.ods	No relacionado con ningún objetivo de desarrollo sostenible
dc.title	A generalization of the notion of helix
dc.type	info:eu-repo/semantics/article
dspace.entity.type	Publication	es
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