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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

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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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