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Infinitesimal bending of knots and energy change. / Kauffman, Louis H.; Velimirović, Ljubica S.; Najdanović, Marija S. et al.

In: Journal of Knot Theory and its Ramifications, Vol. 28, No. 11, 1940009, 01.10.2019.

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

Harvard

Kauffman, LH, Velimirović, LS, Najdanović, MS & Rančić, SR 2019, 'Infinitesimal bending of knots and energy change', Journal of Knot Theory and its Ramifications, vol. 28, no. 11, 1940009. https://doi.org/10.1142/S0218216519400091

APA

Kauffman, L. H., Velimirović, L. S., Najdanović, M. S., & Rančić, S. R. (2019). Infinitesimal bending of knots and energy change. Journal of Knot Theory and its Ramifications, 28(11), [1940009]. https://doi.org/10.1142/S0218216519400091

Vancouver

Kauffman LH, Velimirović LS, Najdanović MS, Rančić SR. Infinitesimal bending of knots and energy change. Journal of Knot Theory and its Ramifications. 2019 Oct 1;28(11):1940009. doi: 10.1142/S0218216519400091

Author

Kauffman, Louis H. ; Velimirović, Ljubica S. ; Najdanović, Marija S. et al. / Infinitesimal bending of knots and energy change. In: Journal of Knot Theory and its Ramifications. 2019 ; Vol. 28, No. 11.

BibTeX

@article{0e5af741c2a540309f41facea42ee77a,
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.",
keywords = "C++, Infinitesimal bending, knot, M{\"o}bius energy, OpenGL, variation, Willmore energy, WILLMORE ENERGY, INVARIANTS, Mobius energy, RIGIDITY, C plus",
author = "Kauffman, {Louis H.} and Velimirovi{\'c}, {Ljubica S.} and Najdanovi{\'c}, {Marija S.} and Ran{\v c}i{\'c}, {Svetozar R.}",
year = "2019",
month = oct,
day = "1",
doi = "10.1142/S0218216519400091",
language = "English",
volume = "28",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "11",

}

RIS

TY - JOUR

T1 - Infinitesimal bending of knots and energy change

AU - Kauffman, Louis H.

AU - Velimirović, Ljubica S.

AU - Najdanović, Marija S.

AU - Rančić, Svetozar R.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - 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.

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.

KW - C++

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

UR - http://www.scopus.com/inward/record.url?scp=85072255209&partnerID=8YFLogxK

U2 - 10.1142/S0218216519400091

DO - 10.1142/S0218216519400091

M3 - Article

AN - SCOPUS:85072255209

VL - 28

JO - Journal of Knot Theory and its Ramifications

JF - Journal of Knot Theory and its Ramifications

SN - 0218-2165

IS - 11

M1 - 1940009

ER -

ID: 21541729