Infinitesimal bending of knots and energy change

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

doi:10.1142/S0218216519400091

Infinitesimal bending of knots and energy change

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

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We discuss the infinitesimal bending of curves and knots in â.,Š3. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the Möbius energy under infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.

Original language	English
Article number	1940009
Number of pages	15
Journal	Journal of Knot Theory and its Ramifications
Volume	28
Issue number	11
DOIs	https://doi.org/10.1142/S0218216519400091
Publication status	Published - 1 Oct 2019

Keywords

C++
Infinitesimal bending
knot
Möbius energy
OpenGL
variation
Willmore energy
WILLMORE ENERGY
INVARIANTS
Mobius energy
RIGIDITY
C plus

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title = "Infinitesimal bending of knots and energy change",

abstract = "We discuss the infinitesimal bending of curves and knots in {\^a}.,{\v S}3. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the M{\"o}bius energy under infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.",

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AU - Kauffman, Louis H.

AU - Velimirović, Ljubica S.

AU - Najdanović, Marija S.

AU - Rančić, Svetozar R.

PY - 2019/10/1

Y1 - 2019/10/1

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AB - We discuss the infinitesimal bending of curves and knots in â.,Š3. A brief overview of the results on the infinitesimal bending of curves is outlined. Change of the Willmore energy, as well as of the Möbius energy under infinitesimal bending of knots is considered. Our visualization tool devoted to visual representation of infinitesimal bending of knots is presented.

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KW - Infinitesimal bending

KW - knot

KW - Möbius energy

KW - OpenGL

KW - variation

KW - Willmore energy

KW - WILLMORE ENERGY

KW - INVARIANTS

KW - Mobius energy

KW - RIGIDITY

KW - C plus

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JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

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ER -

Infinitesimal bending of knots and energy change

Abstract

Keywords

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