Infinitesimal bending of knots and energy change-Reference-Cited by-同舟云学术

Infinitesimal bending of knots and energy change

Published:2019-10 Issue:11 Volume:28 Page:1940009
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kauffman Louis H.¹²,Velimirović Ljubica S.³,Najdanović Marija S.⁴,Rančić Svetozar R.³

Affiliation:

1. Department of Mathematics, Statistics and Computer Science, 851 South Morgan Street, University of Illinois at Chicago, Chicago, Illinois 60607-7045, USA

2. Department of Mechanics and Mathematics, Novosibirsk State University, Novosibirsk, Russia

3. Faculty of Science and Mathematics, University of Niš, Niš, Serbia

4. University of Priština, Kosovska Mitrovica, Faculty of Sciences, Department of Mathematics, 38220 Kosovska Mitrovica, Serbia

Abstract

We discuss the infinitesimal bending of curves and knots in [Formula: see text]. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216519400091

Reference24 articles.

1. �ber affine Geometrie XXIX: Die Starrheit der Eifl�chen

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