Open Access
2008 Extremals of the Generalized Euler-Bernoulli Energy and Applications
Óscar J. Garay
J. Geom. Symmetry Phys. 12: 27-61 (2008). DOI: 10.7546/jgsp-12-2008-27-61


In this survey we describe a general method to deal with the variational problem associated to the generalized elastic curves, paying special attention to closed critical curves in real space forms due to its special geometric significance. We illustrate the method by studying particular choices of this energy in some more detail. Finally, we will review also some interesting applications of generalized elasticae to other higher dimensional variational problems in Physics, Biophysics and the Theory of Submanifolds.


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Óscar J. Garay. "Extremals of the Generalized Euler-Bernoulli Energy and Applications." J. Geom. Symmetry Phys. 12 27 - 61, 2008.


Published: 2008
First available in Project Euclid: 24 May 2017

zbMATH: 1157.74013
MathSciNet: MR2498779
Digital Object Identifier: 10.7546/jgsp-12-2008-27-61

Rights: Copyright © 2008 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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