The total curvature of knots under second-order infinitesimal bending

Marija S. Najdanović; Svetozar R. Ranĉić; Louis H. Kauffman; Ljubica S. Velimirović

doi:10.1142/S0218216519500056

The total curvature of knots under second-order infinitesimal bending

Marija S. Najdanović, Svetozar R. Ranĉić, Louis H. Kauffman, Ljubica S. Velimirović

Лаборатория топологии и динамики ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

1 Цитирования (Scopus)

Аннотация

In 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.

Язык оригинала	английский
Номер статьи	1950005
Число страниц	12
Журнал	Journal of Knot Theory and its Ramifications
Том	28
Номер выпуска	1
DOI	https://doi.org/10.1142/S0218216519500056
Состояние	Опубликовано - 1 янв 2019

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10.1142/S0218216519500056

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The total curvature of knots under second-order infinitesimal bending. / Najdanović, Marija S.; Ranĉić, Svetozar R.; Kauffman, Louis H.; Velimirović, Ljubica S.

В: Journal of Knot Theory and its Ramifications, Том 28, № 1, 1950005, 01.01.2019.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AU - Ranĉić, Svetozar R.

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AU - Velimirović, Ljubica S.

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N2 - In 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.

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The total curvature of knots under second-order infinitesimal bending

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