Title:  Biharmonic curves on a surface
Internal authors: 
Issue Date:  2001
Journal: 
RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI  
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.
URI:  http://hdl.handle.net/11584/96220
Type: 1.1 Articolo in rivista

Files in This Item:
There are no files associated with this item.

Questionnaire and social

Share on: