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The total curvature of knots under second-order infinitesimal bending

dc.contributor.authorNajdanović, Marija
dc.contributor.authorRančić, Svetozar
dc.contributor.authorKauffman, Louis
dc.contributor.authorVelimirović, Ljubica
dc.date.accessioned2023-04-06T11:15:27Z
dc.date.available2023-04-06T11:15:27Z
dc.date.issued2019-01-03
dc.identifier.citationMinistry of Education, Science and Technological Development, Serbia [174012]en_US
dc.identifier.urihttps://platon.pr.ac.rs/handle/123456789/1167
dc.description.abstractIn this paper, we consider infinitesimal bending of the second-order of curves and knots. The total curvature of the knot during the second-order infinitesimal bending is discussed and expressions for the first and the second variation of the total curvature are given. Some examples aimed to illustrate infinitesimal bending of knots are shown using figures. Colors are used to illustrate curvature values at different points of bent knots and the total curvature is numerically calculated.en_US
dc.language.isoen_USen_US
dc.publisherWorld Scientific Publishing Co. Pte. Ltd.en_US
dc.titleThe total curvature of knots under second-order infinitesimal bendingen_US
dc.title.alternativeJournal of Knot Theory and Its Ramificationsen_US
dc.typeclanak-u-casopisuen_US
dc.description.versionpublishedVersionen_US
dc.identifier.doi10.1142/S0218216519500056
dc.citation.volume28
dc.citation.issue1
dc.citation.spage1950005
dc.subject.keywordsSecond-order infinitesimal bendingen_US
dc.subject.keywordsfirst variationen_US
dc.subject.keywordssecond variationen_US
dc.subject.keywordstotal curvatureen_US
dc.subject.keywordscurveen_US
dc.subject.keywordsknoten_US
dc.type.mCategoryM23en_US
dc.type.mCategoryclosedAccessen_US
dc.type.mCategoryM23en_US
dc.type.mCategoryclosedAccessen_US
dc.identifier.ISSN0218-2165


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