MMN-2133

On the Willmore energy of curves under second order infinitesimal bending

Marija S. Najdanovic; Ljubica S. Velimirovic;

Abstract

The change of the Willmore energy, as a special case of so-called Hel- frich energy, under second order infi nitesimal bending of curves in a three- dimensional Euclidean space is studied. The fi rst and the second variation of the Willmore energy are obtained.


Vol. 17 (2016), No. 2, pp. 979-987
DOI: 10.18514/MMN.2017.2133


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