A characterization of ccr-curves in R-m

Öztürk, Günay; Hacısalihoğlu, Hasan Hilmi

Publication:
A characterization of ccr-curves in R-m

dc.contributor.author	Öztürk, Günay
dc.contributor.author	Hacısalihoğlu, Hasan Hilmi
dc.contributor.buuauthor	Arslan, Kadri
dc.contributor.department	Fen Edebiyat Fakültesi
dc.contributor.department	Matematik Bölümü
dc.contributor.orcid	0000-0002-1440-7050
dc.contributor.researcherid	AAG-8775-2021
dc.contributor.scopusid	6603079141
dc.date.accessioned	2022-03-28T11:25:10Z
dc.date.available	2022-03-28T11:25:10Z
dc.date.issued	2008
dc.description.abstract	We study the curve in R-m for which the ratios between two consecutive curvatures are constant (ccr-curves). We show that closed ccr-curves in Euclidean space R-m are of finite type. We also consider Frenet curves with constant harmonic curvatures and show that an immersed curve in R2n+1 with constant harmonic curvatures H-t at point gamma(s(0)) has a Darboux vertex at that point.
dc.identifier.citation	Öztürk, G. vd. (2008). A characterization of ccr-curves in R-m". Proceedings of the Estonian Academy of Sciences, 57(4), 217-224.
dc.identifier.endpage	224
dc.identifier.issn	1736-6046
dc.identifier.issue	4
dc.identifier.scopus	2-s2.0-58149234829
dc.identifier.startpage	217
dc.identifier.uri	https://doi.org/10.3176/proc.2008.4.03
dc.identifier.uri	http://hdl.handle.net/11452/25382
dc.identifier.volume	57
dc.identifier.wos	000261988400003
dc.indexed.wos	SCIE
dc.language.iso	en
dc.publisher	Estonian Acad
dc.relation.journal	Proceedings of the Estonian Academy of Sciences
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Science & technology - other topics
dc.subject	Ccr-curve
dc.subject	Curves of finite type
dc.subject	Differential geometry
dc.subject	Frenet curve
dc.subject	W-curve
dc.subject.scopus	Curve; Mannheim; Evolute
dc.subject.wos	Multidisciplinary sciences
dc.title	A characterization of ccr-curves in R-m
dc.type	Article
dc.wos.quartile	Q4
dspace.entity.type	Publication
local.contributor.department	Fen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.at	Scopus
local.indexed.at	WOS