FINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD

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dc.contributor.authorCamci, Cetin
dc.contributor.authorHacisalihoglu, H. Hilmi
dc.date.accessioned2025-01-27T20:11:42Z
dc.date.available2025-01-27T20:11:42Z
dc.date.issued2010
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractWe study finite type curve in R(3)(-3) which lies in a cylinder N(2)(c). Baikousis and Blair proved that a Legendre curve in R(3)(-3) of constant curvature lies in cylinder N(2)(c) and is a 1-type curve, conversely, a 1-type Legendre curve is of constant curvature. In this paper, we will prove that a 1-type curve lying in a cylinder N(2)(c) has a constant curvature. Furthermore we will prove that a curve in R(3)(-3) which lies in a cylinder N(2)(c) is finite type if and only if the curve is 1-type.
dc.identifier.doi10.4134/BKMS.2010.47.6.1163
dc.identifier.endpage1170
dc.identifier.issn1015-8634
dc.identifier.issue6
dc.identifier.scopus2-s2.0-78649776692
dc.identifier.scopusqualityQ3
dc.identifier.startpage1163
dc.identifier.urihttps://doi.org/10.4134/BKMS.2010.47.6.1163
dc.identifier.urihttps://hdl.handle.net/20.500.12428/20679
dc.identifier.volume47
dc.identifier.wosWOS:000285276900006
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherKorean Mathematical Soc
dc.relation.ispartofBulletin of The Korean Mathematical Society
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20250125
dc.subjectSasakian Manifold
dc.subjectLegendre curve
dc.subjectfinite type curve
dc.titleFINITE TYPE CURVE IN 3-DIMENSIONAL SASAKIAN MANIFOLD
dc.typeArticle

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