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.
2001
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Esperti anonimi
This paper was cited 16 times by 16 authors
Caddeo, RENZO ILARIO; Montaldo, Stefano; Piu, MARIA PAOLA
1.1 Articolo in rivista
info:eu-repo/semantics/article
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