Biharmonic curves on a surface
CADDEO, RENZO ILARIO;MONTALDO, STEFANO;PIU, MARIA PAOLA
2001-01-01
Abstract
In this paper we consider the biharmonic curves on a surface. These curves are critical points of the bienergy functional, and generalize the harmonic curves (geodesics). We first find conditions on the Gaussian curvature of the surface along a nongeodesic biharmonic curve. Then we study biharmonic curves on a surface of revolution, giving the explicit solutions in the case of surfaces of revolution with constant Gaussian curvature.Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.