On the Willmore energy of curves under second order infinitesimal bending
Marija S. NajdanovićLjubica S. VelimirovićUniversity of Niš, Faculty of Sciences and Mathematics, 33 Višegradska, 18000 Niš, Serbia
2017en
ABI
Abstract
The change of the Willmore energy, as a special case of so-called Helfrich energy, under second order infinitesimal bending of curves in a three-dimensional Euclidean space is studied. The first and the second variation of the Willmore energy are obtained.
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