2 citations
2 papers
math.DG2004★ 1 cited
On the biharmonic and harmonic indices of the Hopf map
E. Loubeau, C. Oniciuc
Biharmonic maps are the critical points of the bienergy functional and, from this point of view, generalise harmonic maps. We consider the Hopf map $ψ:\s^3\to \s^2$ and modify it i…
math.DG2003★ 2 cited
The index of biharmonic maps in spheres
E. Loubeau, C. Oniciuc
Biharmonic maps are the critical points of the bienergy functional and generalise harmonic maps. We investigate the index of a class of biharmonic maps, derived from minimal Rieman…