Biharmonic curves on a surface

By R. Caddeo, Stefano Montaldo. 2001

70 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

The index of biharmonic maps in spheres (2003, background): “the existence of a non-harmonic biharmonic map from Sninto Sn+1. A more precise argument (cf. [1]) shows that it actually is the embedding of Sn(√1 2 ) as the tropic, cancer or capricorn, of Sn+1. In [3], Caddeo, Montaldo and Piu show that a biharmonic curve on a surface of non-positive Gaussian cur”
Biharmonic Maps Between Riemannian Manifolds (2002, background): “Proper biharmonic curves on a surface of revolution are classified, for example we have ([2]):”
A short survey on biharmonic maps between Riemannian manifolds (2005, unknown): “For more examples see [14, 15].”
On the biharmonic and harmonic indices of the Hopf map (2004, methodology): “On surfaces of revolution, Caddeo, Montaldo and Piu obtained the parametric equation of all nongeodesic biharmonic curves on the torus and Delaunay surfaces [3], nonminimal biharmonic submanifolds of S(3) are classified in [4], while constructions of such submanifolds on S (n ≥ 4) are presented in [”